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Finding the Third Proportional to 125,900 and 245,424

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Solution

The third proportional to 125,900 and 245,424 is: 478,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,900 : 245,424 = 245,424 : x
  2. Step 2: Convert to fraction form
    125,900/245,424 = 245,424/x
  3. Step 3: Cross multiply
    125,900x = 245,424 × 245,424
  4. Step 4: Simplify right side
    125,900x = 60,232,939,776
  5. Step 5: Solve for x
    x = 60,232,939,776/125,900
  6. Step 6: Final answer
    x = 478,418.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.