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Finding the Third Proportional to 109,302 and 257,919

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Solution

The third proportional to 109,302 and 257,919 is: 608,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,302 : 257,919 = 257,919 : x
  2. Step 2: Convert to fraction form
    109,302/257,919 = 257,919/x
  3. Step 3: Cross multiply
    109,302x = 257,919 × 257,919
  4. Step 4: Simplify right side
    109,302x = 66,522,210,561
  5. Step 5: Solve for x
    x = 66,522,210,561/109,302
  6. Step 6: Final answer
    x = 608,609.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.