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Finding the Third Proportional to 639,717 and 1,368,006

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Solution

The third proportional to 639,717 and 1,368,006 is: 2,925,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,717 : 1,368,006 = 1,368,006 : x
  2. Step 2: Convert to fraction form
    639,717/1,368,006 = 1,368,006/x
  3. Step 3: Cross multiply
    639,717x = 1,368,006 × 1,368,006
  4. Step 4: Simplify right side
    639,717x = 1,871,440,416,036
  5. Step 5: Solve for x
    x = 1,871,440,416,036/639,717
  6. Step 6: Final answer
    x = 2,925,419.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.