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Finding the Third Proportional to 125,864 and 245,340

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Solution

The third proportional to 125,864 and 245,340 is: 478,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,864 : 245,340 = 245,340 : x
  2. Step 2: Convert to fraction form
    125,864/245,340 = 245,340/x
  3. Step 3: Cross multiply
    125,864x = 245,340 × 245,340
  4. Step 4: Simplify right side
    125,864x = 60,191,715,600
  5. Step 5: Solve for x
    x = 60,191,715,600/125,864
  6. Step 6: Final answer
    x = 478,228.21

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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.