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Finding the Third Proportional to 61,574 and 132,972

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Solution

The third proportional to 61,574 and 132,972 is: 287,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,574 : 132,972 = 132,972 : x
  2. Step 2: Convert to fraction form
    61,574/132,972 = 132,972/x
  3. Step 3: Cross multiply
    61,574x = 132,972 × 132,972
  4. Step 4: Simplify right side
    61,574x = 17,681,552,784
  5. Step 5: Solve for x
    x = 17,681,552,784/61,574
  6. Step 6: Final answer
    x = 287,159.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.