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Finding the Third Proportional to 386,248 and 838,991

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Solution

The third proportional to 386,248 and 838,991 is: 1,822,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,248 : 838,991 = 838,991 : x
  2. Step 2: Convert to fraction form
    386,248/838,991 = 838,991/x
  3. Step 3: Cross multiply
    386,248x = 838,991 × 838,991
  4. Step 4: Simplify right side
    386,248x = 703,905,898,081
  5. Step 5: Solve for x
    x = 703,905,898,081/386,248
  6. Step 6: Final answer
    x = 1,822,419.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.