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Finding the Third Proportional to 320,129,463 and 688,792,830

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Solution

The third proportional to 320,129,463 and 688,792,830 is: 1,482,011,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,129,463 : 688,792,830 = 688,792,830 : x
  2. Step 2: Convert to fraction form
    320,129,463/688,792,830 = 688,792,830/x
  3. Step 3: Cross multiply
    320,129,463x = 688,792,830 × 688,792,830
  4. Step 4: Simplify right side
    320,129,463x = 474,435,562,659,408,896
  5. Step 5: Solve for x
    x = 474,435,562,659,408,896/320,129,463
  6. Step 6: Final answer
    x = 1,482,011,553.12

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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.