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Finding the Third Proportional to 371,983 and 810,395

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Solution

The third proportional to 371,983 and 810,395 is: 1,765,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,983 : 810,395 = 810,395 : x
  2. Step 2: Convert to fraction form
    371,983/810,395 = 810,395/x
  3. Step 3: Cross multiply
    371,983x = 810,395 × 810,395
  4. Step 4: Simplify right side
    371,983x = 656,740,056,025
  5. Step 5: Solve for x
    x = 656,740,056,025/371,983
  6. Step 6: Final answer
    x = 1,765,510.94

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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.