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Finding the Third Proportional to 278,140.50 and 398,254.50

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Solution

The third proportional to 278,140.50 and 398,254.50 is: 570,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,140.50 : 398,254.50 = 398,254.50 : x
  2. Step 2: Convert to fraction form
    278,140.50/398,254.50 = 398,254.50/x
  3. Step 3: Cross multiply
    278,140.50x = 398,254.50 × 398,254.50
  4. Step 4: Simplify right side
    278,140.50x = 158,606,646,770.25
  5. Step 5: Solve for x
    x = 158,606,646,770.25/278,140.50
  6. Step 6: Final answer
    x = 570,239.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.