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Finding the Third Proportional to 502.31 and 802.27

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Solution

The third proportional to 502.31 and 802.27 is: 1,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.31 : 802.27 = 802.27 : x
  2. Step 2: Convert to fraction form
    502.31/802.27 = 802.27/x
  3. Step 3: Cross multiply
    502.31x = 802.27 × 802.27
  4. Step 4: Simplify right side
    502.31x = 643,630.13
  5. Step 5: Solve for x
    x = 643,630.13/502.31
  6. Step 6: Final answer
    x = 1,281.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.