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Finding the Third Proportional to 77,382 and 104,403

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Solution

The third proportional to 77,382 and 104,403 is: 140,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,382 : 104,403 = 104,403 : x
  2. Step 2: Convert to fraction form
    77,382/104,403 = 104,403/x
  3. Step 3: Cross multiply
    77,382x = 104,403 × 104,403
  4. Step 4: Simplify right side
    77,382x = 10,899,986,409
  5. Step 5: Solve for x
    x = 10,899,986,409/77,382
  6. Step 6: Final answer
    x = 140,859.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.