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Finding the Third Proportional to 422,970 and 915,636

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Solution

The third proportional to 422,970 and 915,636 is: 1,982,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,970 : 915,636 = 915,636 : x
  2. Step 2: Convert to fraction form
    422,970/915,636 = 915,636/x
  3. Step 3: Cross multiply
    422,970x = 915,636 × 915,636
  4. Step 4: Simplify right side
    422,970x = 838,389,284,496
  5. Step 5: Solve for x
    x = 838,389,284,496/422,970
  6. Step 6: Final answer
    x = 1,982,148.34

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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.