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Finding the Third Proportional to 419,264 and 931,408

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Solution

The third proportional to 419,264 and 931,408 is: 2,069,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,264 : 931,408 = 931,408 : x
  2. Step 2: Convert to fraction form
    419,264/931,408 = 931,408/x
  3. Step 3: Cross multiply
    419,264x = 931,408 × 931,408
  4. Step 4: Simplify right side
    419,264x = 867,520,862,464
  5. Step 5: Solve for x
    x = 867,520,862,464/419,264
  6. Step 6: Final answer
    x = 2,069,151.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.