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Finding the Third Proportional to 243,381,480,896 and 520,257,210,880

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Solution

The third proportional to 243,381,480,896 and 520,257,210,880 is: 1,112,112,410,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,381,480,896 : 520,257,210,880 = 520,257,210,880 : x
  2. Step 2: Convert to fraction form
    243,381,480,896/520,257,210,880 = 520,257,210,880/x
  3. Step 3: Cross multiply
    243,381,480,896x = 520,257,210,880 × 520,257,210,880
  4. Step 4: Simplify right side
    243,381,480,896x = 270,667,565,472,636,783,820,800
  5. Step 5: Solve for x
    x = 270,667,565,472,636,783,820,800/243,381,480,896
  6. Step 6: Final answer
    x = 1,112,112,410,838.26

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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.