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Finding the Third Proportional to 44,536 and 94,072

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Solution

The third proportional to 44,536 and 94,072 is: 198,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,536 : 94,072 = 94,072 : x
  2. Step 2: Convert to fraction form
    44,536/94,072 = 94,072/x
  3. Step 3: Cross multiply
    44,536x = 94,072 × 94,072
  4. Step 4: Simplify right side
    44,536x = 8,849,541,184
  5. Step 5: Solve for x
    x = 8,849,541,184/44,536
  6. Step 6: Final answer
    x = 198,705.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.