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Finding the Third Proportional to 77,240 and 169,243

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Solution

The third proportional to 77,240 and 169,243 is: 370,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,240 : 169,243 = 169,243 : x
  2. Step 2: Convert to fraction form
    77,240/169,243 = 169,243/x
  3. Step 3: Cross multiply
    77,240x = 169,243 × 169,243
  4. Step 4: Simplify right side
    77,240x = 28,643,193,049
  5. Step 5: Solve for x
    x = 28,643,193,049/77,240
  6. Step 6: Final answer
    x = 370,833.67

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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.