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Finding the Third Proportional to 388,610 and 840,422

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Solution

The third proportional to 388,610 and 840,422 is: 1,817,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,610 : 840,422 = 840,422 : x
  2. Step 2: Convert to fraction form
    388,610/840,422 = 840,422/x
  3. Step 3: Cross multiply
    388,610x = 840,422 × 840,422
  4. Step 4: Simplify right side
    388,610x = 706,309,138,084
  5. Step 5: Solve for x
    x = 706,309,138,084/388,610
  6. Step 6: Final answer
    x = 1,817,526.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.