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Finding the Third Proportional to 521,884 and 808,078

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Solution

The third proportional to 521,884 and 808,078 is: 1,251,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,884 : 808,078 = 808,078 : x
  2. Step 2: Convert to fraction form
    521,884/808,078 = 808,078/x
  3. Step 3: Cross multiply
    521,884x = 808,078 × 808,078
  4. Step 4: Simplify right side
    521,884x = 652,990,054,084
  5. Step 5: Solve for x
    x = 652,990,054,084/521,884
  6. Step 6: Final answer
    x = 1,251,216.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.