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Finding the Third Proportional to 42,446 and 93,280

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Solution

The third proportional to 42,446 and 93,280 is: 204,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,446 : 93,280 = 93,280 : x
  2. Step 2: Convert to fraction form
    42,446/93,280 = 93,280/x
  3. Step 3: Cross multiply
    42,446x = 93,280 × 93,280
  4. Step 4: Simplify right side
    42,446x = 8,701,158,400
  5. Step 5: Solve for x
    x = 8,701,158,400/42,446
  6. Step 6: Final answer
    x = 204,993.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.