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Finding the Third Proportional to 386,431.13 and 824,218.50

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Solution

The third proportional to 386,431.13 and 824,218.50 is: 1,757,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,431.13 : 824,218.50 = 824,218.50 : x
  2. Step 2: Convert to fraction form
    386,431.13/824,218.50 = 824,218.50/x
  3. Step 3: Cross multiply
    386,431.13x = 824,218.50 × 824,218.50
  4. Step 4: Simplify right side
    386,431.13x = 679,336,135,742.25
  5. Step 5: Solve for x
    x = 679,336,135,742.25/386,431.13
  6. Step 6: Final answer
    x = 1,757,974.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.