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Finding the Third Proportional to 209,715 and 293,229

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Solution

The third proportional to 209,715 and 293,229 is: 410,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715 : 293,229 = 293,229 : x
  2. Step 2: Convert to fraction form
    209,715/293,229 = 293,229/x
  3. Step 3: Cross multiply
    209,715x = 293,229 × 293,229
  4. Step 4: Simplify right side
    209,715x = 85,983,246,441
  5. Step 5: Solve for x
    x = 85,983,246,441/209,715
  6. Step 6: Final answer
    x = 410,000.46

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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.