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Finding the Third Proportional to 576,517.50 and 821,269.13

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Solution

The third proportional to 576,517.50 and 821,269.13 is: 1,169,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,517.50 : 821,269.13 = 821,269.13 : x
  2. Step 2: Convert to fraction form
    576,517.50/821,269.13 = 821,269.13/x
  3. Step 3: Cross multiply
    576,517.50x = 821,269.13 × 821,269.13
  4. Step 4: Simplify right side
    576,517.50x = 674,482,975,678.27
  5. Step 5: Solve for x
    x = 674,482,975,678.27/576,517.50
  6. Step 6: Final answer
    x = 1,169,926.28

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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.