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Finding the Third Proportional to 142,269 and 297,691

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Solution

The third proportional to 142,269 and 297,691 is: 622,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,269 : 297,691 = 297,691 : x
  2. Step 2: Convert to fraction form
    142,269/297,691 = 297,691/x
  3. Step 3: Cross multiply
    142,269x = 297,691 × 297,691
  4. Step 4: Simplify right side
    142,269x = 88,619,931,481
  5. Step 5: Solve for x
    x = 88,619,931,481/142,269
  6. Step 6: Final answer
    x = 622,904.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.