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Finding the Third Proportional to 422,578 and 916,810.75

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Solution

The third proportional to 422,578 and 916,810.75 is: 1,989,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,578 : 916,810.75 = 916,810.75 : x
  2. Step 2: Convert to fraction form
    422,578/916,810.75 = 916,810.75/x
  3. Step 3: Cross multiply
    422,578x = 916,810.75 × 916,810.75
  4. Step 4: Simplify right side
    422,578x = 840,541,951,315.56
  5. Step 5: Solve for x
    x = 840,541,951,315.56/422,578
  6. Step 6: Final answer
    x = 1,989,081.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.