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Finding the Third Proportional to 396,148 and 772,451

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Solution

The third proportional to 396,148 and 772,451 is: 1,506,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,148 : 772,451 = 772,451 : x
  2. Step 2: Convert to fraction form
    396,148/772,451 = 772,451/x
  3. Step 3: Cross multiply
    396,148x = 772,451 × 772,451
  4. Step 4: Simplify right side
    396,148x = 596,680,547,401
  5. Step 5: Solve for x
    x = 596,680,547,401/396,148
  6. Step 6: Final answer
    x = 1,506,206.13

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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.