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Finding the Third Proportional to 62,072 and 129,904

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Solution

The third proportional to 62,072 and 129,904 is: 271,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,072 : 129,904 = 129,904 : x
  2. Step 2: Convert to fraction form
    62,072/129,904 = 129,904/x
  3. Step 3: Cross multiply
    62,072x = 129,904 × 129,904
  4. Step 4: Simplify right side
    62,072x = 16,875,049,216
  5. Step 5: Solve for x
    x = 16,875,049,216/62,072
  6. Step 6: Final answer
    x = 271,862.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.