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Finding the Third Proportional to 138,680,226 and 300,471,588

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Solution

The third proportional to 138,680,226 and 300,471,588 is: 651,016,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,680,226 : 300,471,588 = 300,471,588 : x
  2. Step 2: Convert to fraction form
    138,680,226/300,471,588 = 300,471,588/x
  3. Step 3: Cross multiply
    138,680,226x = 300,471,588 × 300,471,588
  4. Step 4: Simplify right side
    138,680,226x = 90,283,175,195,241,744
  5. Step 5: Solve for x
    x = 90,283,175,195,241,744/138,680,226
  6. Step 6: Final answer
    x = 651,016,931.54

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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.