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Finding the Third Proportional to 18,345 and 40,207

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Solution

The third proportional to 18,345 and 40,207 is: 88,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,345 : 40,207 = 40,207 : x
  2. Step 2: Convert to fraction form
    18,345/40,207 = 40,207/x
  3. Step 3: Cross multiply
    18,345x = 40,207 × 40,207
  4. Step 4: Simplify right side
    18,345x = 1,616,602,849
  5. Step 5: Solve for x
    x = 1,616,602,849/18,345
  6. Step 6: Final answer
    x = 88,122.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.