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Finding the Third Proportional to 243,381,480,904 and 520,257,210,896

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Solution

The third proportional to 243,381,480,904 and 520,257,210,896 is: 1,112,112,410,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,381,480,904 : 520,257,210,896 = 520,257,210,896 : x
  2. Step 2: Convert to fraction form
    243,381,480,904/520,257,210,896 = 520,257,210,896/x
  3. Step 3: Cross multiply
    243,381,480,904x = 520,257,210,896 × 520,257,210,896
  4. Step 4: Simplify right side
    243,381,480,904x = 270,667,565,489,285,016,584,192
  5. Step 5: Solve for x
    x = 270,667,565,489,285,016,584,192/243,381,480,904
  6. Step 6: Final answer
    x = 1,112,112,410,870.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.