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Finding the Third Proportional to 135,195.75 and 288,488.25

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Solution

The third proportional to 135,195.75 and 288,488.25 is: 615,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,195.75 : 288,488.25 = 288,488.25 : x
  2. Step 2: Convert to fraction form
    135,195.75/288,488.25 = 288,488.25/x
  3. Step 3: Cross multiply
    135,195.75x = 288,488.25 × 288,488.25
  4. Step 4: Simplify right side
    135,195.75x = 83,225,470,388.06
  5. Step 5: Solve for x
    x = 83,225,470,388.06/135,195.75
  6. Step 6: Final answer
    x = 615,592.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.