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Finding the Third Proportional to 127,913 and 178,920

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Solution

The third proportional to 127,913 and 178,920 is: 250,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,913 : 178,920 = 178,920 : x
  2. Step 2: Convert to fraction form
    127,913/178,920 = 178,920/x
  3. Step 3: Cross multiply
    127,913x = 178,920 × 178,920
  4. Step 4: Simplify right side
    127,913x = 32,012,366,400
  5. Step 5: Solve for x
    x = 32,012,366,400/127,913
  6. Step 6: Final answer
    x = 250,266.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.