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Finding the Third Proportional to 189,432.56 and 406,890.56

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Solution

The third proportional to 189,432.56 and 406,890.56 is: 873,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432.56 : 406,890.56 = 406,890.56 : x
  2. Step 2: Convert to fraction form
    189,432.56/406,890.56 = 406,890.56/x
  3. Step 3: Cross multiply
    189,432.56x = 406,890.56 × 406,890.56
  4. Step 4: Simplify right side
    189,432.56x = 165,559,929,851.57
  5. Step 5: Solve for x
    x = 165,559,929,851.57/189,432.56
  6. Step 6: Final answer
    x = 873,978.20

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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.