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Finding the Third Proportional to 62,206 and 72,318

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Solution

The third proportional to 62,206 and 72,318 is: 84,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,206 : 72,318 = 72,318 : x
  2. Step 2: Convert to fraction form
    62,206/72,318 = 72,318/x
  3. Step 3: Cross multiply
    62,206x = 72,318 × 72,318
  4. Step 4: Simplify right side
    62,206x = 5,229,893,124
  5. Step 5: Solve for x
    x = 5,229,893,124/62,206
  6. Step 6: Final answer
    x = 84,073.77

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.