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Finding the Third Proportional to 516.69 and 802.06

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Solution

The third proportional to 516.69 and 802.06 is: 1,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 802.06 = 802.06 : x
  2. Step 2: Convert to fraction form
    516.69/802.06 = 802.06/x
  3. Step 3: Cross multiply
    516.69x = 802.06 × 802.06
  4. Step 4: Simplify right side
    516.69x = 643,304.25
  5. Step 5: Solve for x
    x = 643,304.25/516.69
  6. Step 6: Final answer
    x = 1,245.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.