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Finding the Third Proportional to 42,503.50 and 92,783

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Solution

The third proportional to 42,503.50 and 92,783 is: 202,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,503.50 : 92,783 = 92,783 : x
  2. Step 2: Convert to fraction form
    42,503.50/92,783 = 92,783/x
  3. Step 3: Cross multiply
    42,503.50x = 92,783 × 92,783
  4. Step 4: Simplify right side
    42,503.50x = 8,608,685,089
  5. Step 5: Solve for x
    x = 8,608,685,089/42,503.50
  6. Step 6: Final answer
    x = 202,540.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.