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Finding the Third Proportional to 396,237 and 772,620

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Solution

The third proportional to 396,237 and 772,620 is: 1,506,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,237 : 772,620 = 772,620 : x
  2. Step 2: Convert to fraction form
    396,237/772,620 = 772,620/x
  3. Step 3: Cross multiply
    396,237x = 772,620 × 772,620
  4. Step 4: Simplify right side
    396,237x = 596,941,664,400
  5. Step 5: Solve for x
    x = 596,941,664,400/396,237
  6. Step 6: Final answer
    x = 1,506,526.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.