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Finding the Third Proportional to 243.19 and 562.41

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Solution

The third proportional to 243.19 and 562.41 is: 1,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.19 : 562.41 = 562.41 : x
  2. Step 2: Convert to fraction form
    243.19/562.41 = 562.41/x
  3. Step 3: Cross multiply
    243.19x = 562.41 × 562.41
  4. Step 4: Simplify right side
    243.19x = 316,300.79
  5. Step 5: Solve for x
    x = 316,300.79/243.19
  6. Step 6: Final answer
    x = 1,300.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.