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Finding the Third Proportional to 315.75 and 424.13

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Solution

The third proportional to 315.75 and 424.13 is: 569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.75 : 424.13 = 424.13 : x
  2. Step 2: Convert to fraction form
    315.75/424.13 = 424.13/x
  3. Step 3: Cross multiply
    315.75x = 424.13 × 424.13
  4. Step 4: Simplify right side
    315.75x = 179,882.02
  5. Step 5: Solve for x
    x = 179,882.02/315.75
  6. Step 6: Final answer
    x = 569.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.