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Finding the Third Proportional to 65,616 and 140,559

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Solution

The third proportional to 65,616 and 140,559 is: 301,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,616 : 140,559 = 140,559 : x
  2. Step 2: Convert to fraction form
    65,616/140,559 = 140,559/x
  3. Step 3: Cross multiply
    65,616x = 140,559 × 140,559
  4. Step 4: Simplify right side
    65,616x = 19,756,832,481
  5. Step 5: Solve for x
    x = 19,756,832,481/65,616
  6. Step 6: Final answer
    x = 301,097.79

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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.