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Finding the Third Proportional to 555.40 and 834.52

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Solution

The third proportional to 555.40 and 834.52 is: 1,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.40 : 834.52 = 834.52 : x
  2. Step 2: Convert to fraction form
    555.40/834.52 = 834.52/x
  3. Step 3: Cross multiply
    555.40x = 834.52 × 834.52
  4. Step 4: Simplify right side
    555.40x = 696,426.11
  5. Step 5: Solve for x
    x = 696,426.11/555.40
  6. Step 6: Final answer
    x = 1,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.