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Finding the Third Proportional to 149,470 and 218,456

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Solution

The third proportional to 149,470 and 218,456 is: 319,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,470 : 218,456 = 218,456 : x
  2. Step 2: Convert to fraction form
    149,470/218,456 = 218,456/x
  3. Step 3: Cross multiply
    149,470x = 218,456 × 218,456
  4. Step 4: Simplify right side
    149,470x = 47,723,023,936
  5. Step 5: Solve for x
    x = 47,723,023,936/149,470
  6. Step 6: Final answer
    x = 319,281.62

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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.