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Finding the Third Proportional to 65,909.25 and 102,140.63

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Solution

The third proportional to 65,909.25 and 102,140.63 is: 158,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909.25 : 102,140.63 = 102,140.63 : x
  2. Step 2: Convert to fraction form
    65,909.25/102,140.63 = 102,140.63/x
  3. Step 3: Cross multiply
    65,909.25x = 102,140.63 × 102,140.63
  4. Step 4: Simplify right side
    65,909.25x = 10,432,707,275.39
  5. Step 5: Solve for x
    x = 10,432,707,275.39/65,909.25
  6. Step 6: Final answer
    x = 158,288.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.