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Finding the Third Proportional to 80,347 and 153,403

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Solution

The third proportional to 80,347 and 153,403 is: 292,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,347 : 153,403 = 153,403 : x
  2. Step 2: Convert to fraction form
    80,347/153,403 = 153,403/x
  3. Step 3: Cross multiply
    80,347x = 153,403 × 153,403
  4. Step 4: Simplify right side
    80,347x = 23,532,480,409
  5. Step 5: Solve for x
    x = 23,532,480,409/80,347
  6. Step 6: Final answer
    x = 292,885.61

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.