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Finding the Third Proportional to 42,520.50 and 93,222

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Solution

The third proportional to 42,520.50 and 93,222 is: 204,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,520.50 : 93,222 = 93,222 : x
  2. Step 2: Convert to fraction form
    42,520.50/93,222 = 93,222/x
  3. Step 3: Cross multiply
    42,520.50x = 93,222 × 93,222
  4. Step 4: Simplify right side
    42,520.50x = 8,690,341,284
  5. Step 5: Solve for x
    x = 8,690,341,284/42,520.50
  6. Step 6: Final answer
    x = 204,380.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.