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Finding the Third Proportional to 427,006 and 919,988

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Solution

The third proportional to 427,006 and 919,988 is: 1,982,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,006 : 919,988 = 919,988 : x
  2. Step 2: Convert to fraction form
    427,006/919,988 = 919,988/x
  3. Step 3: Cross multiply
    427,006x = 919,988 × 919,988
  4. Step 4: Simplify right side
    427,006x = 846,377,920,144
  5. Step 5: Solve for x
    x = 846,377,920,144/427,006
  6. Step 6: Final answer
    x = 1,982,121.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.