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Finding the Third Proportional to 148,810 and 222,300

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Solution

The third proportional to 148,810 and 222,300 is: 332,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,810 : 222,300 = 222,300 : x
  2. Step 2: Convert to fraction form
    148,810/222,300 = 222,300/x
  3. Step 3: Cross multiply
    148,810x = 222,300 × 222,300
  4. Step 4: Simplify right side
    148,810x = 49,417,290,000
  5. Step 5: Solve for x
    x = 49,417,290,000/148,810
  6. Step 6: Final answer
    x = 332,083.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.