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Finding the Third Proportional to 242,260 and 339,479

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Solution

The third proportional to 242,260 and 339,479 is: 475,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,260 : 339,479 = 339,479 : x
  2. Step 2: Convert to fraction form
    242,260/339,479 = 339,479/x
  3. Step 3: Cross multiply
    242,260x = 339,479 × 339,479
  4. Step 4: Simplify right side
    242,260x = 115,245,991,441
  5. Step 5: Solve for x
    x = 115,245,991,441/242,260
  6. Step 6: Final answer
    x = 475,712.01

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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.