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Finding the Third Proportional to 76,331 and 136,258

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Solution

The third proportional to 76,331 and 136,258 is: 243,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,331 : 136,258 = 136,258 : x
  2. Step 2: Convert to fraction form
    76,331/136,258 = 136,258/x
  3. Step 3: Cross multiply
    76,331x = 136,258 × 136,258
  4. Step 4: Simplify right side
    76,331x = 18,566,242,564
  5. Step 5: Solve for x
    x = 18,566,242,564/76,331
  6. Step 6: Final answer
    x = 243,233.32

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.