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Finding the Third Proportional to 576,800 and 860,416

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Solution

The third proportional to 576,800 and 860,416 is: 1,283,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,800 : 860,416 = 860,416 : x
  2. Step 2: Convert to fraction form
    576,800/860,416 = 860,416/x
  3. Step 3: Cross multiply
    576,800x = 860,416 × 860,416
  4. Step 4: Simplify right side
    576,800x = 740,315,693,056
  5. Step 5: Solve for x
    x = 740,315,693,056/576,800
  6. Step 6: Final answer
    x = 1,283,487.68

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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.