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Finding the Third Proportional to 142,265 and 297,681

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Solution

The third proportional to 142,265 and 297,681 is: 622,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,265 : 297,681 = 297,681 : x
  2. Step 2: Convert to fraction form
    142,265/297,681 = 297,681/x
  3. Step 3: Cross multiply
    142,265x = 297,681 × 297,681
  4. Step 4: Simplify right side
    142,265x = 88,613,977,761
  5. Step 5: Solve for x
    x = 88,613,977,761/142,265
  6. Step 6: Final answer
    x = 622,879.68

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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.