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Finding the Third Proportional to 77,150 and 116,545

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Solution

The third proportional to 77,150 and 116,545 is: 176,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,150 : 116,545 = 116,545 : x
  2. Step 2: Convert to fraction form
    77,150/116,545 = 116,545/x
  3. Step 3: Cross multiply
    77,150x = 116,545 × 116,545
  4. Step 4: Simplify right side
    77,150x = 13,582,737,025
  5. Step 5: Solve for x
    x = 13,582,737,025/77,150
  6. Step 6: Final answer
    x = 176,056.22

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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.