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Finding the Third Proportional to 71,726 and 148,612

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Solution

The third proportional to 71,726 and 148,612 is: 307,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,726 : 148,612 = 148,612 : x
  2. Step 2: Convert to fraction form
    71,726/148,612 = 148,612/x
  3. Step 3: Cross multiply
    71,726x = 148,612 × 148,612
  4. Step 4: Simplify right side
    71,726x = 22,085,526,544
  5. Step 5: Solve for x
    x = 22,085,526,544/71,726
  6. Step 6: Final answer
    x = 307,915.21

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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.