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Finding the Third Proportional to 690.19 and 1,471.08

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Solution

The third proportional to 690.19 and 1,471.08 is: 3,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.19 : 1,471.08 = 1,471.08 : x
  2. Step 2: Convert to fraction form
    690.19/1,471.08 = 1,471.08/x
  3. Step 3: Cross multiply
    690.19x = 1,471.08 × 1,471.08
  4. Step 4: Simplify right side
    690.19x = 2,164,070.85
  5. Step 5: Solve for x
    x = 2,164,070.85/690.19
  6. Step 6: Final answer
    x = 3,135.48

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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.