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Finding the Third Proportional to 1,402.73 and 1,821.45

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Solution

The third proportional to 1,402.73 and 1,821.45 is: 2,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.73 : 1,821.45 = 1,821.45 : x
  2. Step 2: Convert to fraction form
    1,402.73/1,821.45 = 1,821.45/x
  3. Step 3: Cross multiply
    1,402.73x = 1,821.45 × 1,821.45
  4. Step 4: Simplify right side
    1,402.73x = 3,317,663.03
  5. Step 5: Solve for x
    x = 3,317,663.03/1,402.73
  6. Step 6: Final answer
    x = 2,365.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.