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Finding the Third Proportional to 125,458 and 196,779

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Solution

The third proportional to 125,458 and 196,779 is: 308,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,458 : 196,779 = 196,779 : x
  2. Step 2: Convert to fraction form
    125,458/196,779 = 196,779/x
  3. Step 3: Cross multiply
    125,458x = 196,779 × 196,779
  4. Step 4: Simplify right side
    125,458x = 38,721,974,841
  5. Step 5: Solve for x
    x = 38,721,974,841/125,458
  6. Step 6: Final answer
    x = 308,644.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.