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Finding the Third Proportional to 129,502,208 and 283,218,272

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Solution

The third proportional to 129,502,208 and 283,218,272 is: 619,391,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,502,208 : 283,218,272 = 283,218,272 : x
  2. Step 2: Convert to fraction form
    129,502,208/283,218,272 = 283,218,272/x
  3. Step 3: Cross multiply
    129,502,208x = 283,218,272 × 283,218,272
  4. Step 4: Simplify right side
    129,502,208x = 80,212,589,594,665,984
  5. Step 5: Solve for x
    x = 80,212,589,594,665,984/129,502,208
  6. Step 6: Final answer
    x = 619,391,675.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.