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Finding the Third Proportional to 919,972 and 1,396,564

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Solution

The third proportional to 919,972 and 1,396,564 is: 2,120,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,972 : 1,396,564 = 1,396,564 : x
  2. Step 2: Convert to fraction form
    919,972/1,396,564 = 1,396,564/x
  3. Step 3: Cross multiply
    919,972x = 1,396,564 × 1,396,564
  4. Step 4: Simplify right side
    919,972x = 1,950,391,006,096
  5. Step 5: Solve for x
    x = 1,950,391,006,096/919,972
  6. Step 6: Final answer
    x = 2,120,054.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.