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Finding the Third Proportional to 55,246 and 87,617

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Solution

The third proportional to 55,246 and 87,617 is: 138,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,246 : 87,617 = 87,617 : x
  2. Step 2: Convert to fraction form
    55,246/87,617 = 87,617/x
  3. Step 3: Cross multiply
    55,246x = 87,617 × 87,617
  4. Step 4: Simplify right side
    55,246x = 7,676,738,689
  5. Step 5: Solve for x
    x = 7,676,738,689/55,246
  6. Step 6: Final answer
    x = 138,955.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.