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Finding the Third Proportional to 396,612 and 604,210

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Solution

The third proportional to 396,612 and 604,210 is: 920,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,612 : 604,210 = 604,210 : x
  2. Step 2: Convert to fraction form
    396,612/604,210 = 604,210/x
  3. Step 3: Cross multiply
    396,612x = 604,210 × 604,210
  4. Step 4: Simplify right side
    396,612x = 365,069,724,100
  5. Step 5: Solve for x
    x = 365,069,724,100/396,612
  6. Step 6: Final answer
    x = 920,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.