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Finding the Third Proportional to 145,510 and 218,806

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Solution

The third proportional to 145,510 and 218,806 is: 329,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,510 : 218,806 = 218,806 : x
  2. Step 2: Convert to fraction form
    145,510/218,806 = 218,806/x
  3. Step 3: Cross multiply
    145,510x = 218,806 × 218,806
  4. Step 4: Simplify right side
    145,510x = 47,876,065,636
  5. Step 5: Solve for x
    x = 47,876,065,636/145,510
  6. Step 6: Final answer
    x = 329,022.51

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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.