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Finding the Third Proportional to 509.91 and 801.42

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Solution

The third proportional to 509.91 and 801.42 is: 1,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 801.42 = 801.42 : x
  2. Step 2: Convert to fraction form
    509.91/801.42 = 801.42/x
  3. Step 3: Cross multiply
    509.91x = 801.42 × 801.42
  4. Step 4: Simplify right side
    509.91x = 642,277.02
  5. Step 5: Solve for x
    x = 642,277.02/509.91
  6. Step 6: Final answer
    x = 1,259.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.