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Finding the Third Proportional to 280,077.50 and 424,343.25

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Solution

The third proportional to 280,077.50 and 424,343.25 is: 642,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,077.50 : 424,343.25 = 424,343.25 : x
  2. Step 2: Convert to fraction form
    280,077.50/424,343.25 = 424,343.25/x
  3. Step 3: Cross multiply
    280,077.50x = 424,343.25 × 424,343.25
  4. Step 4: Simplify right side
    280,077.50x = 180,067,193,820.56
  5. Step 5: Solve for x
    x = 180,067,193,820.56/280,077.50
  6. Step 6: Final answer
    x = 642,919.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.