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Finding the Third Proportional to 576,468.75 and 821,190

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Solution

The third proportional to 576,468.75 and 821,190 is: 1,169,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,468.75 : 821,190 = 821,190 : x
  2. Step 2: Convert to fraction form
    576,468.75/821,190 = 821,190/x
  3. Step 3: Cross multiply
    576,468.75x = 821,190 × 821,190
  4. Step 4: Simplify right side
    576,468.75x = 674,353,016,100
  5. Step 5: Solve for x
    x = 674,353,016,100/576,468.75
  6. Step 6: Final answer
    x = 1,169,799.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.