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Finding the Third Proportional to 490,336 and 675,239

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Solution

The third proportional to 490,336 and 675,239 is: 929,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,336 : 675,239 = 675,239 : x
  2. Step 2: Convert to fraction form
    490,336/675,239 = 675,239/x
  3. Step 3: Cross multiply
    490,336x = 675,239 × 675,239
  4. Step 4: Simplify right side
    490,336x = 455,947,707,121
  5. Step 5: Solve for x
    x = 455,947,707,121/490,336
  6. Step 6: Final answer
    x = 929,867.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.