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Finding the Third Proportional to 109,876 and 125,428

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Solution

The third proportional to 109,876 and 125,428 is: 143,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876 : 125,428 = 125,428 : x
  2. Step 2: Convert to fraction form
    109,876/125,428 = 125,428/x
  3. Step 3: Cross multiply
    109,876x = 125,428 × 125,428
  4. Step 4: Simplify right side
    109,876x = 15,732,183,184
  5. Step 5: Solve for x
    x = 15,732,183,184/109,876
  6. Step 6: Final answer
    x = 143,181.25

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.