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Finding the Third Proportional to 387,234 and 820,620

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Solution

The third proportional to 387,234 and 820,620 is: 1,739,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,234 : 820,620 = 820,620 : x
  2. Step 2: Convert to fraction form
    387,234/820,620 = 820,620/x
  3. Step 3: Cross multiply
    387,234x = 820,620 × 820,620
  4. Step 4: Simplify right side
    387,234x = 673,417,184,400
  5. Step 5: Solve for x
    x = 673,417,184,400/387,234
  6. Step 6: Final answer
    x = 1,739,044.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.