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Finding the Third Proportional to 125,394 and 194,377.50

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Solution

The third proportional to 125,394 and 194,377.50 is: 301,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,394 : 194,377.50 = 194,377.50 : x
  2. Step 2: Convert to fraction form
    125,394/194,377.50 = 194,377.50/x
  3. Step 3: Cross multiply
    125,394x = 194,377.50 × 194,377.50
  4. Step 4: Simplify right side
    125,394x = 37,782,612,506.25
  5. Step 5: Solve for x
    x = 37,782,612,506.25/125,394
  6. Step 6: Final answer
    x = 301,311.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.