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Finding the Third Proportional to 125,305 and 275,419.50

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Solution

The third proportional to 125,305 and 275,419.50 is: 605,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,305 : 275,419.50 = 275,419.50 : x
  2. Step 2: Convert to fraction form
    125,305/275,419.50 = 275,419.50/x
  3. Step 3: Cross multiply
    125,305x = 275,419.50 × 275,419.50
  4. Step 4: Simplify right side
    125,305x = 75,855,900,980.25
  5. Step 5: Solve for x
    x = 75,855,900,980.25/125,305
  6. Step 6: Final answer
    x = 605,370.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.