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Finding the Third Proportional to 109,518 and 235,397

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Solution

The third proportional to 109,518 and 235,397 is: 505,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,518 : 235,397 = 235,397 : x
  2. Step 2: Convert to fraction form
    109,518/235,397 = 235,397/x
  3. Step 3: Cross multiply
    109,518x = 235,397 × 235,397
  4. Step 4: Simplify right side
    109,518x = 55,411,747,609
  5. Step 5: Solve for x
    x = 55,411,747,609/109,518
  6. Step 6: Final answer
    x = 505,960.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.