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Finding the Third Proportional to 77,540 and 122,982

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Solution

The third proportional to 77,540 and 122,982 is: 195,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,540 : 122,982 = 122,982 : x
  2. Step 2: Convert to fraction form
    77,540/122,982 = 122,982/x
  3. Step 3: Cross multiply
    77,540x = 122,982 × 122,982
  4. Step 4: Simplify right side
    77,540x = 15,124,572,324
  5. Step 5: Solve for x
    x = 15,124,572,324/77,540
  6. Step 6: Final answer
    x = 195,055.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.