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Finding the Third Proportional to 317.61 and 453.28

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Solution

The third proportional to 317.61 and 453.28 is: 646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.61 : 453.28 = 453.28 : x
  2. Step 2: Convert to fraction form
    317.61/453.28 = 453.28/x
  3. Step 3: Cross multiply
    317.61x = 453.28 × 453.28
  4. Step 4: Simplify right side
    317.61x = 205,463.89
  5. Step 5: Solve for x
    x = 205,463.89/317.61
  6. Step 6: Final answer
    x = 646.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.