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Finding the Third Proportional to 320,129,464 and 688,792,832

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Solution

The third proportional to 320,129,464 and 688,792,832 is: 1,482,011,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,129,464 : 688,792,832 = 688,792,832 : x
  2. Step 2: Convert to fraction form
    320,129,464/688,792,832 = 688,792,832/x
  3. Step 3: Cross multiply
    320,129,464x = 688,792,832 × 688,792,832
  4. Step 4: Simplify right side
    320,129,464x = 474,435,565,414,580,224
  5. Step 5: Solve for x
    x = 474,435,565,414,580,224/320,129,464
  6. Step 6: Final answer
    x = 1,482,011,557.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.