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Finding the Third Proportional to 38,312 and 79,276

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Solution

The third proportional to 38,312 and 79,276 is: 164,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 79,276 = 79,276 : x
  2. Step 2: Convert to fraction form
    38,312/79,276 = 79,276/x
  3. Step 3: Cross multiply
    38,312x = 79,276 × 79,276
  4. Step 4: Simplify right side
    38,312x = 6,284,684,176
  5. Step 5: Solve for x
    x = 6,284,684,176/38,312
  6. Step 6: Final answer
    x = 164,039.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.