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Finding the Third Proportional to 1,690.08 and 3,341.72

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Solution

The third proportional to 1,690.08 and 3,341.72 is: 6,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.08 : 3,341.72 = 3,341.72 : x
  2. Step 2: Convert to fraction form
    1,690.08/3,341.72 = 3,341.72/x
  3. Step 3: Cross multiply
    1,690.08x = 3,341.72 × 3,341.72
  4. Step 4: Simplify right side
    1,690.08x = 11,167,123.36
  5. Step 5: Solve for x
    x = 11,167,123.36/1,690.08
  6. Step 6: Final answer
    x = 6,607.44

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.