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Finding the Third Proportional to 278,113.50 and 386,916.75

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Solution

The third proportional to 278,113.50 and 386,916.75 is: 538,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,113.50 : 386,916.75 = 386,916.75 : x
  2. Step 2: Convert to fraction form
    278,113.50/386,916.75 = 386,916.75/x
  3. Step 3: Cross multiply
    278,113.50x = 386,916.75 × 386,916.75
  4. Step 4: Simplify right side
    278,113.50x = 149,704,571,430.56
  5. Step 5: Solve for x
    x = 149,704,571,430.56/278,113.50
  6. Step 6: Final answer
    x = 538,285.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.