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Finding the Third Proportional to 396,146 and 772,447

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Solution

The third proportional to 396,146 and 772,447 is: 1,506,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,146 : 772,447 = 772,447 : x
  2. Step 2: Convert to fraction form
    396,146/772,447 = 772,447/x
  3. Step 3: Cross multiply
    396,146x = 772,447 × 772,447
  4. Step 4: Simplify right side
    396,146x = 596,674,367,809
  5. Step 5: Solve for x
    x = 596,674,367,809/396,146
  6. Step 6: Final answer
    x = 1,506,198.14

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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.