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Finding the Third Proportional to 405,938 and 871,729

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Solution

The third proportional to 405,938 and 871,729 is: 1,871,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,938 : 871,729 = 871,729 : x
  2. Step 2: Convert to fraction form
    405,938/871,729 = 871,729/x
  3. Step 3: Cross multiply
    405,938x = 871,729 × 871,729
  4. Step 4: Simplify right side
    405,938x = 759,911,449,441
  5. Step 5: Solve for x
    x = 759,911,449,441/405,938
  6. Step 6: Final answer
    x = 1,871,988.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.