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Finding the Third Proportional to 243,381,480,888 and 520,257,210,864

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Solution

The third proportional to 243,381,480,888 and 520,257,210,864 is: 1,112,112,410,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,381,480,888 : 520,257,210,864 = 520,257,210,864 : x
  2. Step 2: Convert to fraction form
    243,381,480,888/520,257,210,864 = 520,257,210,864/x
  3. Step 3: Cross multiply
    243,381,480,888x = 520,257,210,864 × 520,257,210,864
  4. Step 4: Simplify right side
    243,381,480,888x = 270,667,565,455,988,551,057,408
  5. Step 5: Solve for x
    x = 270,667,565,455,988,551,057,408/243,381,480,888
  6. Step 6: Final answer
    x = 1,112,112,410,806.41

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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.