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Finding the Third Proportional to 138,637,089 and 300,391,497

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Solution

The third proportional to 138,637,089 and 300,391,497 is: 650,872,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,637,089 : 300,391,497 = 300,391,497 : x
  2. Step 2: Convert to fraction form
    138,637,089/300,391,497 = 300,391,497/x
  3. Step 3: Cross multiply
    138,637,089x = 300,391,497 × 300,391,497
  4. Step 4: Simplify right side
    138,637,089x = 90,235,051,469,901,008
  5. Step 5: Solve for x
    x = 90,235,051,469,901,008/138,637,089
  6. Step 6: Final answer
    x = 650,872,375.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.