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Finding the Third Proportional to 873.70 and 1,900.76

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Solution

The third proportional to 873.70 and 1,900.76 is: 4,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.70 : 1,900.76 = 1,900.76 : x
  2. Step 2: Convert to fraction form
    873.70/1,900.76 = 1,900.76/x
  3. Step 3: Cross multiply
    873.70x = 1,900.76 × 1,900.76
  4. Step 4: Simplify right side
    873.70x = 3,612,880.26
  5. Step 5: Solve for x
    x = 3,612,880.26/873.70
  6. Step 6: Final answer
    x = 4,135.13

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Why These Related Problems?

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