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Finding the Third Proportional to 2,152.50 and 2,904.38

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Solution

The third proportional to 2,152.50 and 2,904.38 is: 3,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.50 : 2,904.38 = 2,904.38 : x
  2. Step 2: Convert to fraction form
    2,152.50/2,904.38 = 2,904.38/x
  3. Step 3: Cross multiply
    2,152.50x = 2,904.38 × 2,904.38
  4. Step 4: Simplify right side
    2,152.50x = 8,435,394.14
  5. Step 5: Solve for x
    x = 8,435,394.14/2,152.50
  6. Step 6: Final answer
    x = 3,918.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.