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Finding the Third Proportional to 74,748 and 115,427

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Solution

The third proportional to 74,748 and 115,427 is: 178,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,748 : 115,427 = 115,427 : x
  2. Step 2: Convert to fraction form
    74,748/115,427 = 115,427/x
  3. Step 3: Cross multiply
    74,748x = 115,427 × 115,427
  4. Step 4: Simplify right side
    74,748x = 13,323,392,329
  5. Step 5: Solve for x
    x = 13,323,392,329/74,748
  6. Step 6: Final answer
    x = 178,244.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.