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Finding the Third Proportional to 408,270 and 865,955

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Solution

The third proportional to 408,270 and 865,955 is: 1,836,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,270 : 865,955 = 865,955 : x
  2. Step 2: Convert to fraction form
    408,270/865,955 = 865,955/x
  3. Step 3: Cross multiply
    408,270x = 865,955 × 865,955
  4. Step 4: Simplify right side
    408,270x = 749,878,062,025
  5. Step 5: Solve for x
    x = 749,878,062,025/408,270
  6. Step 6: Final answer
    x = 1,836,720.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.