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Finding the Third Proportional to 117,205 and 252,207

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Solution

The third proportional to 117,205 and 252,207 is: 542,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,205 : 252,207 = 252,207 : x
  2. Step 2: Convert to fraction form
    117,205/252,207 = 252,207/x
  3. Step 3: Cross multiply
    117,205x = 252,207 × 252,207
  4. Step 4: Simplify right side
    117,205x = 63,608,370,849
  5. Step 5: Solve for x
    x = 63,608,370,849/117,205
  6. Step 6: Final answer
    x = 542,710.39

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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.