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Finding the Third Proportional to 609,500 and 929,721

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Solution

The third proportional to 609,500 and 929,721 is: 1,418,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,500 : 929,721 = 929,721 : x
  2. Step 2: Convert to fraction form
    609,500/929,721 = 929,721/x
  3. Step 3: Cross multiply
    609,500x = 929,721 × 929,721
  4. Step 4: Simplify right side
    609,500x = 864,381,137,841
  5. Step 5: Solve for x
    x = 864,381,137,841/609,500
  6. Step 6: Final answer
    x = 1,418,180.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.