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Finding the Third Proportional to 25,117 and 40,402

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Solution

The third proportional to 25,117 and 40,402 is: 64,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,117 : 40,402 = 40,402 : x
  2. Step 2: Convert to fraction form
    25,117/40,402 = 40,402/x
  3. Step 3: Cross multiply
    25,117x = 40,402 × 40,402
  4. Step 4: Simplify right side
    25,117x = 1,632,321,604
  5. Step 5: Solve for x
    x = 1,632,321,604/25,117
  6. Step 6: Final answer
    x = 64,988.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.