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Finding the Third Proportional to 191.53 and 420.40

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Solution

The third proportional to 191.53 and 420.40 is: 922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.53 : 420.40 = 420.40 : x
  2. Step 2: Convert to fraction form
    191.53/420.40 = 420.40/x
  3. Step 3: Cross multiply
    191.53x = 420.40 × 420.40
  4. Step 4: Simplify right side
    191.53x = 176,734.85
  5. Step 5: Solve for x
    x = 176,734.85/191.53
  6. Step 6: Final answer
    x = 922.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.