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Finding the Third Proportional to 289,341 and 442,350

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Solution

The third proportional to 289,341 and 442,350 is: 676,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,341 : 442,350 = 442,350 : x
  2. Step 2: Convert to fraction form
    289,341/442,350 = 442,350/x
  3. Step 3: Cross multiply
    289,341x = 442,350 × 442,350
  4. Step 4: Simplify right side
    289,341x = 195,673,522,500
  5. Step 5: Solve for x
    x = 195,673,522,500/289,341
  6. Step 6: Final answer
    x = 676,273.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.