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Finding the Third Proportional to 84,355 and 127,403

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Solution

The third proportional to 84,355 and 127,403 is: 192,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,355 : 127,403 = 127,403 : x
  2. Step 2: Convert to fraction form
    84,355/127,403 = 127,403/x
  3. Step 3: Cross multiply
    84,355x = 127,403 × 127,403
  4. Step 4: Simplify right side
    84,355x = 16,231,524,409
  5. Step 5: Solve for x
    x = 16,231,524,409/84,355
  6. Step 6: Final answer
    x = 192,419.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.