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Finding the Third Proportional to 939,721 and 1,431,614

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Solution

The third proportional to 939,721 and 1,431,614 is: 2,180,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,721 : 1,431,614 = 1,431,614 : x
  2. Step 2: Convert to fraction form
    939,721/1,431,614 = 1,431,614/x
  3. Step 3: Cross multiply
    939,721x = 1,431,614 × 1,431,614
  4. Step 4: Simplify right side
    939,721x = 2,049,518,644,996
  5. Step 5: Solve for x
    x = 2,049,518,644,996/939,721
  6. Step 6: Final answer
    x = 2,180,986.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.