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Finding the Third Proportional to 151,746 and 218,580

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Solution

The third proportional to 151,746 and 218,580 is: 314,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,746 : 218,580 = 218,580 : x
  2. Step 2: Convert to fraction form
    151,746/218,580 = 218,580/x
  3. Step 3: Cross multiply
    151,746x = 218,580 × 218,580
  4. Step 4: Simplify right side
    151,746x = 47,777,216,400
  5. Step 5: Solve for x
    x = 47,777,216,400/151,746
  6. Step 6: Final answer
    x = 314,849.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.