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Finding the Third Proportional to 422,988 and 915,672

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Solution

The third proportional to 422,988 and 915,672 is: 1,982,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,988 : 915,672 = 915,672 : x
  2. Step 2: Convert to fraction form
    422,988/915,672 = 915,672/x
  3. Step 3: Cross multiply
    422,988x = 915,672 × 915,672
  4. Step 4: Simplify right side
    422,988x = 838,455,211,584
  5. Step 5: Solve for x
    x = 838,455,211,584/422,988
  6. Step 6: Final answer
    x = 1,982,219.85

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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.