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Finding the Third Proportional to 320,129,397 and 688,792,698

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Solution

The third proportional to 320,129,397 and 688,792,698 is: 1,482,011,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,129,397 : 688,792,698 = 688,792,698 : x
  2. Step 2: Convert to fraction form
    320,129,397/688,792,698 = 688,792,698/x
  3. Step 3: Cross multiply
    320,129,397x = 688,792,698 × 688,792,698
  4. Step 4: Simplify right side
    320,129,397x = 474,435,380,818,119,232
  5. Step 5: Solve for x
    x = 474,435,380,818,119,232/320,129,397
  6. Step 6: Final answer
    x = 1,482,011,290.63

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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.