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Finding the Third Proportional to 426.47 and 918.66

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Solution

The third proportional to 426.47 and 918.66 is: 1,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 918.66 = 918.66 : x
  2. Step 2: Convert to fraction form
    426.47/918.66 = 918.66/x
  3. Step 3: Cross multiply
    426.47x = 918.66 × 918.66
  4. Step 4: Simplify right side
    426.47x = 843,929.31
  5. Step 5: Solve for x
    x = 843,929.31/426.47
  6. Step 6: Final answer
    x = 1,978.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.