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Finding the Third Proportional to 27,565 and 42,787

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Solution

The third proportional to 27,565 and 42,787 is: 66,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565 : 42,787 = 42,787 : x
  2. Step 2: Convert to fraction form
    27,565/42,787 = 42,787/x
  3. Step 3: Cross multiply
    27,565x = 42,787 × 42,787
  4. Step 4: Simplify right side
    27,565x = 1,830,727,369
  5. Step 5: Solve for x
    x = 1,830,727,369/27,565
  6. Step 6: Final answer
    x = 66,414.92

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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.