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Finding the Third Proportional to 420,981 and 901,740

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Solution

The third proportional to 420,981 and 901,740 is: 1,931,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,981 : 901,740 = 901,740 : x
  2. Step 2: Convert to fraction form
    420,981/901,740 = 901,740/x
  3. Step 3: Cross multiply
    420,981x = 901,740 × 901,740
  4. Step 4: Simplify right side
    420,981x = 813,135,027,600
  5. Step 5: Solve for x
    x = 813,135,027,600/420,981
  6. Step 6: Final answer
    x = 1,931,524.29

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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.