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Finding the Third Proportional to 403,729 and 849,287

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Solution

The third proportional to 403,729 and 849,287 is: 1,786,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,729 : 849,287 = 849,287 : x
  2. Step 2: Convert to fraction form
    403,729/849,287 = 849,287/x
  3. Step 3: Cross multiply
    403,729x = 849,287 × 849,287
  4. Step 4: Simplify right side
    403,729x = 721,288,408,369
  5. Step 5: Solve for x
    x = 721,288,408,369/403,729
  6. Step 6: Final answer
    x = 1,786,565.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.