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Finding the Third Proportional to 125,212 and 278,420

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Solution

The third proportional to 125,212 and 278,420 is: 619,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,212 : 278,420 = 278,420 : x
  2. Step 2: Convert to fraction form
    125,212/278,420 = 278,420/x
  3. Step 3: Cross multiply
    125,212x = 278,420 × 278,420
  4. Step 4: Simplify right side
    125,212x = 77,517,696,400
  5. Step 5: Solve for x
    x = 77,517,696,400/125,212
  6. Step 6: Final answer
    x = 619,091.59

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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.