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Finding the Third Proportional to 77,471 and 104,545

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Solution

The third proportional to 77,471 and 104,545 is: 141,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,471 : 104,545 = 104,545 : x
  2. Step 2: Convert to fraction form
    77,471/104,545 = 104,545/x
  3. Step 3: Cross multiply
    77,471x = 104,545 × 104,545
  4. Step 4: Simplify right side
    77,471x = 10,929,657,025
  5. Step 5: Solve for x
    x = 10,929,657,025/77,471
  6. Step 6: Final answer
    x = 141,080.62

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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.