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Finding the Third Proportional to 61,503 and 128,229

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Solution

The third proportional to 61,503 and 128,229 is: 267,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,503 : 128,229 = 128,229 : x
  2. Step 2: Convert to fraction form
    61,503/128,229 = 128,229/x
  3. Step 3: Cross multiply
    61,503x = 128,229 × 128,229
  4. Step 4: Simplify right side
    61,503x = 16,442,676,441
  5. Step 5: Solve for x
    x = 16,442,676,441/61,503
  6. Step 6: Final answer
    x = 267,347.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.