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Finding the Third Proportional to 145,162.13 and 220,921.17

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Solution

The third proportional to 145,162.13 and 220,921.17 is: 336,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.13 : 220,921.17 = 220,921.17 : x
  2. Step 2: Convert to fraction form
    145,162.13/220,921.17 = 220,921.17/x
  3. Step 3: Cross multiply
    145,162.13x = 220,921.17 × 220,921.17
  4. Step 4: Simplify right side
    145,162.13x = 48,806,164,182.62
  5. Step 5: Solve for x
    x = 48,806,164,182.62/145,162.13
  6. Step 6: Final answer
    x = 336,218.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.