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Finding the Third Proportional to 422,935 and 915,565

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Solution

The third proportional to 422,935 and 915,565 is: 1,982,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,935 : 915,565 = 915,565 : x
  2. Step 2: Convert to fraction form
    422,935/915,565 = 915,565/x
  3. Step 3: Cross multiply
    422,935x = 915,565 × 915,565
  4. Step 4: Simplify right side
    422,935x = 838,259,269,225
  5. Step 5: Solve for x
    x = 838,259,269,225/422,935
  6. Step 6: Final answer
    x = 1,982,004.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.