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Finding the Third Proportional to 80,258 and 107,372

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Solution

The third proportional to 80,258 and 107,372 is: 143,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,258 : 107,372 = 107,372 : x
  2. Step 2: Convert to fraction form
    80,258/107,372 = 107,372/x
  3. Step 3: Cross multiply
    80,258x = 107,372 × 107,372
  4. Step 4: Simplify right side
    80,258x = 11,528,746,384
  5. Step 5: Solve for x
    x = 11,528,746,384/80,258
  6. Step 6: Final answer
    x = 143,646.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.