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Finding the Third Proportional to 77,217 and 169,197

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Solution

The third proportional to 77,217 and 169,197 is: 370,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,217 : 169,197 = 169,197 : x
  2. Step 2: Convert to fraction form
    77,217/169,197 = 169,197/x
  3. Step 3: Cross multiply
    77,217x = 169,197 × 169,197
  4. Step 4: Simplify right side
    77,217x = 28,627,624,809
  5. Step 5: Solve for x
    x = 28,627,624,809/77,217
  6. Step 6: Final answer
    x = 370,742.52

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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.