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Finding the Third Proportional to 1,809.84 and 2,646.42

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Solution

The third proportional to 1,809.84 and 2,646.42 is: 3,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.84 : 2,646.42 = 2,646.42 : x
  2. Step 2: Convert to fraction form
    1,809.84/2,646.42 = 2,646.42/x
  3. Step 3: Cross multiply
    1,809.84x = 2,646.42 × 2,646.42
  4. Step 4: Simplify right side
    1,809.84x = 7,003,548.74
  5. Step 5: Solve for x
    x = 7,003,548.74/1,809.84
  6. Step 6: Final answer
    x = 3,869.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.