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Finding the Third Proportional to 289,344 and 442,354

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Solution

The third proportional to 289,344 and 442,354 is: 676,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,344 : 442,354 = 442,354 : x
  2. Step 2: Convert to fraction form
    289,344/442,354 = 442,354/x
  3. Step 3: Cross multiply
    289,344x = 442,354 × 442,354
  4. Step 4: Simplify right side
    289,344x = 195,677,061,316
  5. Step 5: Solve for x
    x = 195,677,061,316/289,344
  6. Step 6: Final answer
    x = 676,278.28

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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.