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Finding the Third Proportional to 125,187 and 278,360

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Solution

The third proportional to 125,187 and 278,360 is: 618,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,187 : 278,360 = 278,360 : x
  2. Step 2: Convert to fraction form
    125,187/278,360 = 278,360/x
  3. Step 3: Cross multiply
    125,187x = 278,360 × 278,360
  4. Step 4: Simplify right side
    125,187x = 77,484,289,600
  5. Step 5: Solve for x
    x = 77,484,289,600/125,187
  6. Step 6: Final answer
    x = 618,948.37

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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.