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Finding the Third Proportional to 242,887 and 339,649

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Solution

The third proportional to 242,887 and 339,649 is: 474,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,887 : 339,649 = 339,649 : x
  2. Step 2: Convert to fraction form
    242,887/339,649 = 339,649/x
  3. Step 3: Cross multiply
    242,887x = 339,649 × 339,649
  4. Step 4: Simplify right side
    242,887x = 115,361,443,201
  5. Step 5: Solve for x
    x = 115,361,443,201/242,887
  6. Step 6: Final answer
    x = 474,959.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.