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Finding the Third Proportional to 521,560 and 1,117,975

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Solution

The third proportional to 521,560 and 1,117,975 is: 2,396,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,560 : 1,117,975 = 1,117,975 : x
  2. Step 2: Convert to fraction form
    521,560/1,117,975 = 1,117,975/x
  3. Step 3: Cross multiply
    521,560x = 1,117,975 × 1,117,975
  4. Step 4: Simplify right side
    521,560x = 1,249,868,100,625
  5. Step 5: Solve for x
    x = 1,249,868,100,625/521,560
  6. Step 6: Final answer
    x = 2,396,403.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.