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Finding the Third Proportional to 768,985 and 1,682,721

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Solution

The third proportional to 768,985 and 1,682,721 is: 3,682,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,985 : 1,682,721 = 1,682,721 : x
  2. Step 2: Convert to fraction form
    768,985/1,682,721 = 1,682,721/x
  3. Step 3: Cross multiply
    768,985x = 1,682,721 × 1,682,721
  4. Step 4: Simplify right side
    768,985x = 2,831,549,963,841
  5. Step 5: Solve for x
    x = 2,831,549,963,841/768,985
  6. Step 6: Final answer
    x = 3,682,191.41

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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.