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Finding the Third Proportional to 27,657 and 42,711

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Solution

The third proportional to 27,657 and 42,711 is: 65,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657 : 42,711 = 42,711 : x
  2. Step 2: Convert to fraction form
    27,657/42,711 = 42,711/x
  3. Step 3: Cross multiply
    27,657x = 42,711 × 42,711
  4. Step 4: Simplify right side
    27,657x = 1,824,229,521
  5. Step 5: Solve for x
    x = 1,824,229,521/27,657
  6. Step 6: Final answer
    x = 65,959.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.