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Finding the Third Proportional to 502.61 and 1,043.67

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Solution

The third proportional to 502.61 and 1,043.67 is: 2,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.61 : 1,043.67 = 1,043.67 : x
  2. Step 2: Convert to fraction form
    502.61/1,043.67 = 1,043.67/x
  3. Step 3: Cross multiply
    502.61x = 1,043.67 × 1,043.67
  4. Step 4: Simplify right side
    502.61x = 1,089,238.75
  5. Step 5: Solve for x
    x = 1,089,238.75/502.61
  6. Step 6: Final answer
    x = 2,167.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.