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Finding the Third Proportional to 781.68 and 1,653.06

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Solution

The third proportional to 781.68 and 1,653.06 is: 3,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.68 : 1,653.06 = 1,653.06 : x
  2. Step 2: Convert to fraction form
    781.68/1,653.06 = 1,653.06/x
  3. Step 3: Cross multiply
    781.68x = 1,653.06 × 1,653.06
  4. Step 4: Simplify right side
    781.68x = 2,732,622.09
  5. Step 5: Solve for x
    x = 2,732,622.09/781.68
  6. Step 6: Final answer
    x = 3,495.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.