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Finding the Third Proportional to 145,560 and 218,544

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Solution

The third proportional to 145,560 and 218,544 is: 328,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,560 : 218,544 = 218,544 : x
  2. Step 2: Convert to fraction form
    145,560/218,544 = 218,544/x
  3. Step 3: Cross multiply
    145,560x = 218,544 × 218,544
  4. Step 4: Simplify right side
    145,560x = 47,761,479,936
  5. Step 5: Solve for x
    x = 47,761,479,936/145,560
  6. Step 6: Final answer
    x = 328,122.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.