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Finding the Third Proportional to 120,830 and 262,420

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Solution

The third proportional to 120,830 and 262,420 is: 569,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830 : 262,420 = 262,420 : x
  2. Step 2: Convert to fraction form
    120,830/262,420 = 262,420/x
  3. Step 3: Cross multiply
    120,830x = 262,420 × 262,420
  4. Step 4: Simplify right side
    120,830x = 68,864,256,400
  5. Step 5: Solve for x
    x = 68,864,256,400/120,830
  6. Step 6: Final answer
    x = 569,926.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.