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Finding the Third Proportional to 191,432 and 420,893.50

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Solution

The third proportional to 191,432 and 420,893.50 is: 925,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,432 : 420,893.50 = 420,893.50 : x
  2. Step 2: Convert to fraction form
    191,432/420,893.50 = 420,893.50/x
  3. Step 3: Cross multiply
    191,432x = 420,893.50 × 420,893.50
  4. Step 4: Simplify right side
    191,432x = 177,151,338,342.25
  5. Step 5: Solve for x
    x = 177,151,338,342.25/191,432
  6. Step 6: Final answer
    x = 925,400.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.