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Finding the Third Proportional to 191,180.25 and 420,106.50

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Solution

The third proportional to 191,180.25 and 420,106.50 is: 923,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,180.25 : 420,106.50 = 420,106.50 : x
  2. Step 2: Convert to fraction form
    191,180.25/420,106.50 = 420,106.50/x
  3. Step 3: Cross multiply
    191,180.25x = 420,106.50 × 420,106.50
  4. Step 4: Simplify right side
    191,180.25x = 176,489,471,342.25
  5. Step 5: Solve for x
    x = 176,489,471,342.25/191,180.25
  6. Step 6: Final answer
    x = 923,157.45

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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.