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Finding the Third Proportional to 185,137.50 and 280,302.75

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Solution

The third proportional to 185,137.50 and 280,302.75 is: 424,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,137.50 : 280,302.75 = 280,302.75 : x
  2. Step 2: Convert to fraction form
    185,137.50/280,302.75 = 280,302.75/x
  3. Step 3: Cross multiply
    185,137.50x = 280,302.75 × 280,302.75
  4. Step 4: Simplify right side
    185,137.50x = 78,569,631,657.56
  5. Step 5: Solve for x
    x = 78,569,631,657.56/185,137.50
  6. Step 6: Final answer
    x = 424,385.29

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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.