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Finding the Third Proportional to 502.63 and 1,071.63

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Solution

The third proportional to 502.63 and 1,071.63 is: 2,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.63 : 1,071.63 = 1,071.63 : x
  2. Step 2: Convert to fraction form
    502.63/1,071.63 = 1,071.63/x
  3. Step 3: Cross multiply
    502.63x = 1,071.63 × 1,071.63
  4. Step 4: Simplify right side
    502.63x = 1,148,380.14
  5. Step 5: Solve for x
    x = 1,148,380.14/502.63
  6. Step 6: Final answer
    x = 2,284.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.