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Finding the Third Proportional to 403,416 and 869,073

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Solution

The third proportional to 403,416 and 869,073 is: 1,872,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,416 : 869,073 = 869,073 : x
  2. Step 2: Convert to fraction form
    403,416/869,073 = 869,073/x
  3. Step 3: Cross multiply
    403,416x = 869,073 × 869,073
  4. Step 4: Simplify right side
    403,416x = 755,287,879,329
  5. Step 5: Solve for x
    x = 755,287,879,329/403,416
  6. Step 6: Final answer
    x = 1,872,230.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.