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Finding the Third Proportional to 148,741 and 216,880

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Solution

The third proportional to 148,741 and 216,880 is: 316,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,741 : 216,880 = 216,880 : x
  2. Step 2: Convert to fraction form
    148,741/216,880 = 216,880/x
  3. Step 3: Cross multiply
    148,741x = 216,880 × 216,880
  4. Step 4: Simplify right side
    148,741x = 47,036,934,400
  5. Step 5: Solve for x
    x = 47,036,934,400/148,741
  6. Step 6: Final answer
    x = 316,233.82

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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.