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Finding the Third Proportional to 18,109 and 39,335

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Solution

The third proportional to 18,109 and 39,335 is: 85,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,109 : 39,335 = 39,335 : x
  2. Step 2: Convert to fraction form
    18,109/39,335 = 39,335/x
  3. Step 3: Cross multiply
    18,109x = 39,335 × 39,335
  4. Step 4: Simplify right side
    18,109x = 1,547,242,225
  5. Step 5: Solve for x
    x = 1,547,242,225/18,109
  6. Step 6: Final answer
    x = 85,440.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.