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Finding the Third Proportional to 521,296.50 and 1,217,895

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Solution

The third proportional to 521,296.50 and 1,217,895 is: 2,845,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,296.50 : 1,217,895 = 1,217,895 : x
  2. Step 2: Convert to fraction form
    521,296.50/1,217,895 = 1,217,895/x
  3. Step 3: Cross multiply
    521,296.50x = 1,217,895 × 1,217,895
  4. Step 4: Simplify right side
    521,296.50x = 1,483,268,231,025
  5. Step 5: Solve for x
    x = 1,483,268,231,025/521,296.50
  6. Step 6: Final answer
    x = 2,845,344.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.