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Finding the Third Proportional to 274,592 and 420,636

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Solution

The third proportional to 274,592 and 420,636 is: 644,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,592 : 420,636 = 420,636 : x
  2. Step 2: Convert to fraction form
    274,592/420,636 = 420,636/x
  3. Step 3: Cross multiply
    274,592x = 420,636 × 420,636
  4. Step 4: Simplify right side
    274,592x = 176,934,644,496
  5. Step 5: Solve for x
    x = 176,934,644,496/274,592
  6. Step 6: Final answer
    x = 644,354.70

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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.