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Finding the Third Proportional to 189,403.31 and 406,531.41

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Solution

The third proportional to 189,403.31 and 406,531.41 is: 872,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,403.31 : 406,531.41 = 406,531.41 : x
  2. Step 2: Convert to fraction form
    189,403.31/406,531.41 = 406,531.41/x
  3. Step 3: Cross multiply
    189,403.31x = 406,531.41 × 406,531.41
  4. Step 4: Simplify right side
    189,403.31x = 165,267,784,267.60
  5. Step 5: Solve for x
    x = 165,267,784,267.60/189,403.31
  6. Step 6: Final answer
    x = 872,570.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.