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Finding the Third Proportional to 690.08 and 1,471.29

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Solution

The third proportional to 690.08 and 1,471.29 is: 3,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 1,471.29 = 1,471.29 : x
  2. Step 2: Convert to fraction form
    690.08/1,471.29 = 1,471.29/x
  3. Step 3: Cross multiply
    690.08x = 1,471.29 × 1,471.29
  4. Step 4: Simplify right side
    690.08x = 2,164,691.51
  5. Step 5: Solve for x
    x = 2,164,691.51/690.08
  6. Step 6: Final answer
    x = 3,136.86

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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.