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Finding the Third Proportional to 28,840 and 42,592

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Solution

The third proportional to 28,840 and 42,592 is: 62,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,840 : 42,592 = 42,592 : x
  2. Step 2: Convert to fraction form
    28,840/42,592 = 42,592/x
  3. Step 3: Cross multiply
    28,840x = 42,592 × 42,592
  4. Step 4: Simplify right side
    28,840x = 1,814,078,464
  5. Step 5: Solve for x
    x = 1,814,078,464/28,840
  6. Step 6: Final answer
    x = 62,901.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.