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Finding the Third Proportional to 148,580 and 217,180

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Solution

The third proportional to 148,580 and 217,180 is: 317,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,580 : 217,180 = 217,180 : x
  2. Step 2: Convert to fraction form
    148,580/217,180 = 217,180/x
  3. Step 3: Cross multiply
    148,580x = 217,180 × 217,180
  4. Step 4: Simplify right side
    148,580x = 47,167,152,400
  5. Step 5: Solve for x
    x = 47,167,152,400/148,580
  6. Step 6: Final answer
    x = 317,452.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.