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Finding the Third Proportional to 531.56 and 802.41

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Solution

The third proportional to 531.56 and 802.41 is: 1,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 802.41 = 802.41 : x
  2. Step 2: Convert to fraction form
    531.56/802.41 = 802.41/x
  3. Step 3: Cross multiply
    531.56x = 802.41 × 802.41
  4. Step 4: Simplify right side
    531.56x = 643,855.79
  5. Step 5: Solve for x
    x = 643,855.79/531.56
  6. Step 6: Final answer
    x = 1,211.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.