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Finding the Third Proportional to 64,826 and 137,368

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Solution

The third proportional to 64,826 and 137,368 is: 291,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,826 : 137,368 = 137,368 : x
  2. Step 2: Convert to fraction form
    64,826/137,368 = 137,368/x
  3. Step 3: Cross multiply
    64,826x = 137,368 × 137,368
  4. Step 4: Simplify right side
    64,826x = 18,869,967,424
  5. Step 5: Solve for x
    x = 18,869,967,424/64,826
  6. Step 6: Final answer
    x = 291,086.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.