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Finding the Third Proportional to 137,836 and 296,696

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Solution

The third proportional to 137,836 and 296,696 is: 638,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,836 : 296,696 = 296,696 : x
  2. Step 2: Convert to fraction form
    137,836/296,696 = 296,696/x
  3. Step 3: Cross multiply
    137,836x = 296,696 × 296,696
  4. Step 4: Simplify right side
    137,836x = 88,028,516,416
  5. Step 5: Solve for x
    x = 88,028,516,416/137,836
  6. Step 6: Final answer
    x = 638,646.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.