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Finding the Third Proportional to 27,657 and 43,254

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Solution

The third proportional to 27,657 and 43,254 is: 67,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657 : 43,254 = 43,254 : x
  2. Step 2: Convert to fraction form
    27,657/43,254 = 43,254/x
  3. Step 3: Cross multiply
    27,657x = 43,254 × 43,254
  4. Step 4: Simplify right side
    27,657x = 1,870,908,516
  5. Step 5: Solve for x
    x = 1,870,908,516/27,657
  6. Step 6: Final answer
    x = 67,646.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.