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Finding the Third Proportional to 92,330.72 and 198,454.22

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Solution

The third proportional to 92,330.72 and 198,454.22 is: 426,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,330.72 : 198,454.22 = 198,454.22 : x
  2. Step 2: Convert to fraction form
    92,330.72/198,454.22 = 198,454.22/x
  3. Step 3: Cross multiply
    92,330.72x = 198,454.22 × 198,454.22
  4. Step 4: Simplify right side
    92,330.72x = 39,384,076,939.67
  5. Step 5: Solve for x
    x = 39,384,076,939.67/92,330.72
  6. Step 6: Final answer
    x = 426,554.43

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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.