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Finding the Third Proportional to 149,715 and 215,207

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Solution

The third proportional to 149,715 and 215,207 is: 309,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 215,207 = 215,207 : x
  2. Step 2: Convert to fraction form
    149,715/215,207 = 215,207/x
  3. Step 3: Cross multiply
    149,715x = 215,207 × 215,207
  4. Step 4: Simplify right side
    149,715x = 46,314,052,849
  5. Step 5: Solve for x
    x = 46,314,052,849/149,715
  6. Step 6: Final answer
    x = 309,348.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.