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Finding the Third Proportional to 426.88 and 647.94

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Solution

The third proportional to 426.88 and 647.94 is: 983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.88 : 647.94 = 647.94 : x
  2. Step 2: Convert to fraction form
    426.88/647.94 = 647.94/x
  3. Step 3: Cross multiply
    426.88x = 647.94 × 647.94
  4. Step 4: Simplify right side
    426.88x = 419,823.00
  5. Step 5: Solve for x
    x = 419,823.00/426.88
  6. Step 6: Final answer
    x = 983.48

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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.