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Finding the Third Proportional to 129,623,250 and 189,513,723

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Solution

The third proportional to 129,623,250 and 189,513,723 is: 277,075,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,623,250 : 189,513,723 = 189,513,723 : x
  2. Step 2: Convert to fraction form
    129,623,250/189,513,723 = 189,513,723/x
  3. Step 3: Cross multiply
    129,623,250x = 189,513,723 × 189,513,723
  4. Step 4: Simplify right side
    129,623,250x = 35,915,451,205,320,728
  5. Step 5: Solve for x
    x = 35,915,451,205,320,728/129,623,250
  6. Step 6: Final answer
    x = 277,075,688.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.