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Finding the Third Proportional to 109,681 and 165,331

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Solution

The third proportional to 109,681 and 165,331 is: 249,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,681 : 165,331 = 165,331 : x
  2. Step 2: Convert to fraction form
    109,681/165,331 = 165,331/x
  3. Step 3: Cross multiply
    109,681x = 165,331 × 165,331
  4. Step 4: Simplify right side
    109,681x = 27,334,339,561
  5. Step 5: Solve for x
    x = 27,334,339,561/109,681
  6. Step 6: Final answer
    x = 249,216.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.