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Finding the Third Proportional to 65,629 and 140,581

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Solution

The third proportional to 65,629 and 140,581 is: 301,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,629 : 140,581 = 140,581 : x
  2. Step 2: Convert to fraction form
    65,629/140,581 = 140,581/x
  3. Step 3: Cross multiply
    65,629x = 140,581 × 140,581
  4. Step 4: Simplify right side
    65,629x = 19,763,017,561
  5. Step 5: Solve for x
    x = 19,763,017,561/65,629
  6. Step 6: Final answer
    x = 301,132.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.