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Finding the Third Proportional to 384,708 and 840,216

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Solution

The third proportional to 384,708 and 840,216 is: 1,835,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,708 : 840,216 = 840,216 : x
  2. Step 2: Convert to fraction form
    384,708/840,216 = 840,216/x
  3. Step 3: Cross multiply
    384,708x = 840,216 × 840,216
  4. Step 4: Simplify right side
    384,708x = 705,962,926,656
  5. Step 5: Solve for x
    x = 705,962,926,656/384,708
  6. Step 6: Final answer
    x = 1,835,061.73

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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.