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Finding the Third Proportional to 1,981.55 and 3,066.82

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Solution

The third proportional to 1,981.55 and 3,066.82 is: 4,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.55 : 3,066.82 = 3,066.82 : x
  2. Step 2: Convert to fraction form
    1,981.55/3,066.82 = 3,066.82/x
  3. Step 3: Cross multiply
    1,981.55x = 3,066.82 × 3,066.82
  4. Step 4: Simplify right side
    1,981.55x = 9,405,386.83
  5. Step 5: Solve for x
    x = 9,405,386.83/1,981.55
  6. Step 6: Final answer
    x = 4,746.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.