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Finding the Third Proportional to 509.75 and 729.13

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Solution

The third proportional to 509.75 and 729.13 is: 1,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 729.13 = 729.13 : x
  2. Step 2: Convert to fraction form
    509.75/729.13 = 729.13/x
  3. Step 3: Cross multiply
    509.75x = 729.13 × 729.13
  4. Step 4: Simplify right side
    509.75x = 531,623.27
  5. Step 5: Solve for x
    x = 531,623.27/509.75
  6. Step 6: Final answer
    x = 1,042.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.