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Finding the Third Proportional to 189,064.13 and 408,211.31

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Solution

The third proportional to 189,064.13 and 408,211.31 is: 881,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064.13 : 408,211.31 = 408,211.31 : x
  2. Step 2: Convert to fraction form
    189,064.13/408,211.31 = 408,211.31/x
  3. Step 3: Cross multiply
    189,064.13x = 408,211.31 × 408,211.31
  4. Step 4: Simplify right side
    189,064.13x = 166,636,475,652.97
  5. Step 5: Solve for x
    x = 166,636,475,652.97/189,064.13
  6. Step 6: Final answer
    x = 881,375.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.