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Finding the Third Proportional to 125,080.50 and 278,137.50

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Solution

The third proportional to 125,080.50 and 278,137.50 is: 618,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,080.50 : 278,137.50 = 278,137.50 : x
  2. Step 2: Convert to fraction form
    125,080.50/278,137.50 = 278,137.50/x
  3. Step 3: Cross multiply
    125,080.50x = 278,137.50 × 278,137.50
  4. Step 4: Simplify right side
    125,080.50x = 77,360,468,906.25
  5. Step 5: Solve for x
    x = 77,360,468,906.25/125,080.50
  6. Step 6: Final answer
    x = 618,485.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.