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Finding the Third Proportional to 78,353 and 172,258

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Solution

The third proportional to 78,353 and 172,258 is: 378,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,353 : 172,258 = 172,258 : x
  2. Step 2: Convert to fraction form
    78,353/172,258 = 172,258/x
  3. Step 3: Cross multiply
    78,353x = 172,258 × 172,258
  4. Step 4: Simplify right side
    78,353x = 29,672,818,564
  5. Step 5: Solve for x
    x = 29,672,818,564/78,353
  6. Step 6: Final answer
    x = 378,706.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.