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Finding the Third Proportional to 502.63 and 1,089.13

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Solution

The third proportional to 502.63 and 1,089.13 is: 2,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.63 : 1,089.13 = 1,089.13 : x
  2. Step 2: Convert to fraction form
    502.63/1,089.13 = 1,089.13/x
  3. Step 3: Cross multiply
    502.63x = 1,089.13 × 1,089.13
  4. Step 4: Simplify right side
    502.63x = 1,186,193.27
  5. Step 5: Solve for x
    x = 1,186,193.27/502.63
  6. Step 6: Final answer
    x = 2,360.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.