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Finding the Third Proportional to 77,238 and 169,237

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Solution

The third proportional to 77,238 and 169,237 is: 370,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,238 : 169,237 = 169,237 : x
  2. Step 2: Convert to fraction form
    77,238/169,237 = 169,237/x
  3. Step 3: Cross multiply
    77,238x = 169,237 × 169,237
  4. Step 4: Simplify right side
    77,238x = 28,641,162,169
  5. Step 5: Solve for x
    x = 28,641,162,169/77,238
  6. Step 6: Final answer
    x = 370,816.98

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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.