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Finding the Third Proportional to 27,779 and 42,352

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Solution

The third proportional to 27,779 and 42,352 is: 64,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779 : 42,352 = 42,352 : x
  2. Step 2: Convert to fraction form
    27,779/42,352 = 42,352/x
  3. Step 3: Cross multiply
    27,779x = 42,352 × 42,352
  4. Step 4: Simplify right side
    27,779x = 1,793,691,904
  5. Step 5: Solve for x
    x = 1,793,691,904/27,779
  6. Step 6: Final answer
    x = 64,570.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.