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Finding the Third Proportional to 509.81 and 772.03

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Solution

The third proportional to 509.81 and 772.03 is: 1,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.81 : 772.03 = 772.03 : x
  2. Step 2: Convert to fraction form
    509.81/772.03 = 772.03/x
  3. Step 3: Cross multiply
    509.81x = 772.03 × 772.03
  4. Step 4: Simplify right side
    509.81x = 596,032.25
  5. Step 5: Solve for x
    x = 596,032.25/509.81
  6. Step 6: Final answer
    x = 1,169.12

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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.