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Finding the Third Proportional to 831,822 and 1,242,189

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Solution

The third proportional to 831,822 and 1,242,189 is: 1,855,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,822 : 1,242,189 = 1,242,189 : x
  2. Step 2: Convert to fraction form
    831,822/1,242,189 = 1,242,189/x
  3. Step 3: Cross multiply
    831,822x = 1,242,189 × 1,242,189
  4. Step 4: Simplify right side
    831,822x = 1,543,033,511,721
  5. Step 5: Solve for x
    x = 1,543,033,511,721/831,822
  6. Step 6: Final answer
    x = 1,855,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.