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Finding the Third Proportional to 251,862.75 and 380,218.50

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Solution

The third proportional to 251,862.75 and 380,218.50 is: 573,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,862.75 : 380,218.50 = 380,218.50 : x
  2. Step 2: Convert to fraction form
    251,862.75/380,218.50 = 380,218.50/x
  3. Step 3: Cross multiply
    251,862.75x = 380,218.50 × 380,218.50
  4. Step 4: Simplify right side
    251,862.75x = 144,566,107,742.25
  5. Step 5: Solve for x
    x = 144,566,107,742.25/251,862.75
  6. Step 6: Final answer
    x = 573,987.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.