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Finding the Third Proportional to 45,196 and 93,536

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Solution

The third proportional to 45,196 and 93,536 is: 193,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,196 : 93,536 = 93,536 : x
  2. Step 2: Convert to fraction form
    45,196/93,536 = 93,536/x
  3. Step 3: Cross multiply
    45,196x = 93,536 × 93,536
  4. Step 4: Simplify right side
    45,196x = 8,748,983,296
  5. Step 5: Solve for x
    x = 8,748,983,296/45,196
  6. Step 6: Final answer
    x = 193,578.71

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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.