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Finding the Third Proportional to 125,178 and 278,343

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Solution

The third proportional to 125,178 and 278,343 is: 618,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,178 : 278,343 = 278,343 : x
  2. Step 2: Convert to fraction form
    125,178/278,343 = 278,343/x
  3. Step 3: Cross multiply
    125,178x = 278,343 × 278,343
  4. Step 4: Simplify right side
    125,178x = 77,474,825,649
  5. Step 5: Solve for x
    x = 77,474,825,649/125,178
  6. Step 6: Final answer
    x = 618,917.27

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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.