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Finding the Third Proportional to 576,799 and 860,419

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Solution

The third proportional to 576,799 and 860,419 is: 1,283,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,799 : 860,419 = 860,419 : x
  2. Step 2: Convert to fraction form
    576,799/860,419 = 860,419/x
  3. Step 3: Cross multiply
    576,799x = 860,419 × 860,419
  4. Step 4: Simplify right side
    576,799x = 740,320,855,561
  5. Step 5: Solve for x
    x = 740,320,855,561/576,799
  6. Step 6: Final answer
    x = 1,283,498.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.