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Finding the Third Proportional to 278,275.50 and 419,995.13

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Solution

The third proportional to 278,275.50 and 419,995.13 is: 633,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,275.50 : 419,995.13 = 419,995.13 : x
  2. Step 2: Convert to fraction form
    278,275.50/419,995.13 = 419,995.13/x
  3. Step 3: Cross multiply
    278,275.50x = 419,995.13 × 419,995.13
  4. Step 4: Simplify right side
    278,275.50x = 176,395,905,023.77
  5. Step 5: Solve for x
    x = 176,395,905,023.77/278,275.50
  6. Step 6: Final answer
    x = 633,889.45

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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.