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Finding the Third Proportional to 31,854 and 74,385

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Solution

The third proportional to 31,854 and 74,385 is: 173,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 74,385 = 74,385 : x
  2. Step 2: Convert to fraction form
    31,854/74,385 = 74,385/x
  3. Step 3: Cross multiply
    31,854x = 74,385 × 74,385
  4. Step 4: Simplify right side
    31,854x = 5,533,128,225
  5. Step 5: Solve for x
    x = 5,533,128,225/31,854
  6. Step 6: Final answer
    x = 173,702.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.