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Finding the Third Proportional to 320,129,412 and 688,792,728

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Solution

The third proportional to 320,129,412 and 688,792,728 is: 1,482,011,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,129,412 : 688,792,728 = 688,792,728 : x
  2. Step 2: Convert to fraction form
    320,129,412/688,792,728 = 688,792,728/x
  3. Step 3: Cross multiply
    320,129,412x = 688,792,728 × 688,792,728
  4. Step 4: Simplify right side
    320,129,412x = 474,435,422,145,681,984
  5. Step 5: Solve for x
    x = 474,435,422,145,681,984/320,129,412
  6. Step 6: Final answer
    x = 1,482,011,350.29

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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.