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Finding the Third Proportional to 502.78 and 802.88

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Solution

The third proportional to 502.78 and 802.88 is: 1,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.78 : 802.88 = 802.88 : x
  2. Step 2: Convert to fraction form
    502.78/802.88 = 802.88/x
  3. Step 3: Cross multiply
    502.78x = 802.88 × 802.88
  4. Step 4: Simplify right side
    502.78x = 644,608.27
  5. Step 5: Solve for x
    x = 644,608.27/502.78
  6. Step 6: Final answer
    x = 1,282.08

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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.