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Finding the Third Proportional to 489.16 and 730.27

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Solution

The third proportional to 489.16 and 730.27 is: 1,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 730.27 = 730.27 : x
  2. Step 2: Convert to fraction form
    489.16/730.27 = 730.27/x
  3. Step 3: Cross multiply
    489.16x = 730.27 × 730.27
  4. Step 4: Simplify right side
    489.16x = 533,287.88
  5. Step 5: Solve for x
    x = 533,287.88/489.16
  6. Step 6: Final answer
    x = 1,090.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.