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Finding the Third Proportional to 317.88 and 502.94

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Solution

The third proportional to 317.88 and 502.94 is: 795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.88 : 502.94 = 502.94 : x
  2. Step 2: Convert to fraction form
    317.88/502.94 = 502.94/x
  3. Step 3: Cross multiply
    317.88x = 502.94 × 502.94
  4. Step 4: Simplify right side
    317.88x = 252,946.13
  5. Step 5: Solve for x
    x = 252,946.13/317.88
  6. Step 6: Final answer
    x = 795.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.