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Finding the Third Proportional to 124.13 and 289.50

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Solution

The third proportional to 124.13 and 289.50 is: 675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.13 : 289.50 = 289.50 : x
  2. Step 2: Convert to fraction form
    124.13/289.50 = 289.50/x
  3. Step 3: Cross multiply
    124.13x = 289.50 × 289.50
  4. Step 4: Simplify right side
    124.13x = 83,810.25
  5. Step 5: Solve for x
    x = 83,810.25/124.13
  6. Step 6: Final answer
    x = 675.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.