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Finding the Third Proportional to 489.25 and 726.50

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Solution

The third proportional to 489.25 and 726.50 is: 1,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.25 : 726.50 = 726.50 : x
  2. Step 2: Convert to fraction form
    489.25/726.50 = 726.50/x
  3. Step 3: Cross multiply
    489.25x = 726.50 × 726.50
  4. Step 4: Simplify right side
    489.25x = 527,802.25
  5. Step 5: Solve for x
    x = 527,802.25/489.25
  6. Step 6: Final answer
    x = 1,078.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.