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Finding the Third Proportional to 42,556 and 57,246

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Solution

The third proportional to 42,556 and 57,246 is: 77,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,556 : 57,246 = 57,246 : x
  2. Step 2: Convert to fraction form
    42,556/57,246 = 57,246/x
  3. Step 3: Cross multiply
    42,556x = 57,246 × 57,246
  4. Step 4: Simplify right side
    42,556x = 3,277,104,516
  5. Step 5: Solve for x
    x = 3,277,104,516/42,556
  6. Step 6: Final answer
    x = 77,006.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.