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Finding the Third Proportional to 76,719 and 158,763

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Solution

The third proportional to 76,719 and 158,763 is: 328,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,719 : 158,763 = 158,763 : x
  2. Step 2: Convert to fraction form
    76,719/158,763 = 158,763/x
  3. Step 3: Cross multiply
    76,719x = 158,763 × 158,763
  4. Step 4: Simplify right side
    76,719x = 25,205,690,169
  5. Step 5: Solve for x
    x = 25,205,690,169/76,719
  6. Step 6: Final answer
    x = 328,545.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.