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Finding the Third Proportional to 326,290 and 670,148

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Solution

The third proportional to 326,290 and 670,148 is: 1,376,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,290 : 670,148 = 670,148 : x
  2. Step 2: Convert to fraction form
    326,290/670,148 = 670,148/x
  3. Step 3: Cross multiply
    326,290x = 670,148 × 670,148
  4. Step 4: Simplify right side
    326,290x = 449,098,341,904
  5. Step 5: Solve for x
    x = 449,098,341,904/326,290
  6. Step 6: Final answer
    x = 1,376,377.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.