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Finding the Third Proportional to 38,358 and 79,378

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Solution

The third proportional to 38,358 and 79,378 is: 164,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358 : 79,378 = 79,378 : x
  2. Step 2: Convert to fraction form
    38,358/79,378 = 79,378/x
  3. Step 3: Cross multiply
    38,358x = 79,378 × 79,378
  4. Step 4: Simplify right side
    38,358x = 6,300,866,884
  5. Step 5: Solve for x
    x = 6,300,866,884/38,358
  6. Step 6: Final answer
    x = 164,264.74

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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.