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Finding the Third Proportional to 132,738.75 and 288,802.13

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Solution

The third proportional to 132,738.75 and 288,802.13 is: 628,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,738.75 : 288,802.13 = 288,802.13 : x
  2. Step 2: Convert to fraction form
    132,738.75/288,802.13 = 288,802.13/x
  3. Step 3: Cross multiply
    132,738.75x = 288,802.13 × 288,802.13
  4. Step 4: Simplify right side
    132,738.75x = 83,406,667,404.52
  5. Step 5: Solve for x
    x = 83,406,667,404.52/132,738.75
  6. Step 6: Final answer
    x = 628,352.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.