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Finding the Third Proportional to 92,520 and 198,157

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Solution

The third proportional to 92,520 and 198,157 is: 424,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,520 : 198,157 = 198,157 : x
  2. Step 2: Convert to fraction form
    92,520/198,157 = 198,157/x
  3. Step 3: Cross multiply
    92,520x = 198,157 × 198,157
  4. Step 4: Simplify right side
    92,520x = 39,266,196,649
  5. Step 5: Solve for x
    x = 39,266,196,649/92,520
  6. Step 6: Final answer
    x = 424,407.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.