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Finding the Third Proportional to 640,586 and 982,286

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Solution

The third proportional to 640,586 and 982,286 is: 1,506,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,586 : 982,286 = 982,286 : x
  2. Step 2: Convert to fraction form
    640,586/982,286 = 982,286/x
  3. Step 3: Cross multiply
    640,586x = 982,286 × 982,286
  4. Step 4: Simplify right side
    640,586x = 964,885,785,796
  5. Step 5: Solve for x
    x = 964,885,785,796/640,586
  6. Step 6: Final answer
    x = 1,506,254.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.