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Finding the Third Proportional to 509.63 and 775.31

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Solution

The third proportional to 509.63 and 775.31 is: 1,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 775.31 = 775.31 : x
  2. Step 2: Convert to fraction form
    509.63/775.31 = 775.31/x
  3. Step 3: Cross multiply
    509.63x = 775.31 × 775.31
  4. Step 4: Simplify right side
    509.63x = 601,109.47
  5. Step 5: Solve for x
    x = 601,109.47/509.63
  6. Step 6: Final answer
    x = 1,179.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.