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Finding the Third Proportional to 509.72 and 1,116.66

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Solution

The third proportional to 509.72 and 1,116.66 is: 2,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.72 : 1,116.66 = 1,116.66 : x
  2. Step 2: Convert to fraction form
    509.72/1,116.66 = 1,116.66/x
  3. Step 3: Cross multiply
    509.72x = 1,116.66 × 1,116.66
  4. Step 4: Simplify right side
    509.72x = 1,246,921.18
  5. Step 5: Solve for x
    x = 1,246,921.18/509.72
  6. Step 6: Final answer
    x = 2,446.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.