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Finding the Third Proportional to 821,440 and 1,797,731

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Solution

The third proportional to 821,440 and 1,797,731 is: 3,934,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,440 : 1,797,731 = 1,797,731 : x
  2. Step 2: Convert to fraction form
    821,440/1,797,731 = 1,797,731/x
  3. Step 3: Cross multiply
    821,440x = 1,797,731 × 1,797,731
  4. Step 4: Simplify right side
    821,440x = 3,231,836,748,361
  5. Step 5: Solve for x
    x = 3,231,836,748,361/821,440
  6. Step 6: Final answer
    x = 3,934,355.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.