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Finding the Third Proportional to 821,388 and 1,731,720

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Solution

The third proportional to 821,388 and 1,731,720 is: 3,650,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,388 : 1,731,720 = 1,731,720 : x
  2. Step 2: Convert to fraction form
    821,388/1,731,720 = 1,731,720/x
  3. Step 3: Cross multiply
    821,388x = 1,731,720 × 1,731,720
  4. Step 4: Simplify right side
    821,388x = 2,998,854,158,400
  5. Step 5: Solve for x
    x = 2,998,854,158,400/821,388
  6. Step 6: Final answer
    x = 3,650,959.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.