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Finding the Third Proportional to 92,364.68 and 198,973.34

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Solution

The third proportional to 92,364.68 and 198,973.34 is: 428,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,364.68 : 198,973.34 = 198,973.34 : x
  2. Step 2: Convert to fraction form
    92,364.68/198,973.34 = 198,973.34/x
  3. Step 3: Cross multiply
    92,364.68x = 198,973.34 × 198,973.34
  4. Step 4: Simplify right side
    92,364.68x = 39,590,388,414.10
  5. Step 5: Solve for x
    x = 39,590,388,414.10/92,364.68
  6. Step 6: Final answer
    x = 428,631.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.