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Finding the Third Proportional to 251,791.88 and 390,452.06

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Solution

The third proportional to 251,791.88 and 390,452.06 is: 605,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,791.88 : 390,452.06 = 390,452.06 : x
  2. Step 2: Convert to fraction form
    251,791.88/390,452.06 = 390,452.06/x
  3. Step 3: Cross multiply
    251,791.88x = 390,452.06 × 390,452.06
  4. Step 4: Simplify right side
    251,791.88x = 152,452,813,110.50
  5. Step 5: Solve for x
    x = 152,452,813,110.50/251,791.88
  6. Step 6: Final answer
    x = 605,471.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.