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Finding the Third Proportional to 576,451 and 821,165.25

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Solution

The third proportional to 576,451 and 821,165.25 is: 1,169,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,451 : 821,165.25 = 821,165.25 : x
  2. Step 2: Convert to fraction form
    576,451/821,165.25 = 821,165.25/x
  3. Step 3: Cross multiply
    576,451x = 821,165.25 × 821,165.25
  4. Step 4: Simplify right side
    576,451x = 674,312,367,807.56
  5. Step 5: Solve for x
    x = 674,312,367,807.56/576,451
  6. Step 6: Final answer
    x = 1,169,765.28

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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.