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Finding the Third Proportional to 77,225 and 169,213

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Solution

The third proportional to 77,225 and 169,213 is: 370,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,225 : 169,213 = 169,213 : x
  2. Step 2: Convert to fraction form
    77,225/169,213 = 169,213/x
  3. Step 3: Cross multiply
    77,225x = 169,213 × 169,213
  4. Step 4: Simplify right side
    77,225x = 28,633,039,369
  5. Step 5: Solve for x
    x = 28,633,039,369/77,225
  6. Step 6: Final answer
    x = 370,774.22

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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.