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Finding the Third Proportional to 77,222 and 169,206

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Solution

The third proportional to 77,222 and 169,206 is: 370,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,222 : 169,206 = 169,206 : x
  2. Step 2: Convert to fraction form
    77,222/169,206 = 169,206/x
  3. Step 3: Cross multiply
    77,222x = 169,206 × 169,206
  4. Step 4: Simplify right side
    77,222x = 28,630,670,436
  5. Step 5: Solve for x
    x = 28,630,670,436/77,222
  6. Step 6: Final answer
    x = 370,757.95

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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.