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Finding the Third Proportional to 137,899 and 296,909

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Solution

The third proportional to 137,899 and 296,909 is: 639,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,899 : 296,909 = 296,909 : x
  2. Step 2: Convert to fraction form
    137,899/296,909 = 296,909/x
  3. Step 3: Cross multiply
    137,899x = 296,909 × 296,909
  4. Step 4: Simplify right side
    137,899x = 88,154,954,281
  5. Step 5: Solve for x
    x = 88,154,954,281/137,899
  6. Step 6: Final answer
    x = 639,271.89

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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.