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Finding the Third Proportional to 384,675 and 840,153

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Solution

The third proportional to 384,675 and 840,153 is: 1,834,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,675 : 840,153 = 840,153 : x
  2. Step 2: Convert to fraction form
    384,675/840,153 = 840,153/x
  3. Step 3: Cross multiply
    384,675x = 840,153 × 840,153
  4. Step 4: Simplify right side
    384,675x = 705,857,063,409
  5. Step 5: Solve for x
    x = 705,857,063,409/384,675
  6. Step 6: Final answer
    x = 1,834,943.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.