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Finding the Third Proportional to 426.52 and 554.13

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Solution

The third proportional to 426.52 and 554.13 is: 719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 554.13 = 554.13 : x
  2. Step 2: Convert to fraction form
    426.52/554.13 = 554.13/x
  3. Step 3: Cross multiply
    426.52x = 554.13 × 554.13
  4. Step 4: Simplify right side
    426.52x = 307,063.17
  5. Step 5: Solve for x
    x = 307,063.17/426.52
  6. Step 6: Final answer
    x = 719.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.