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Finding the Third Proportional to 761.81 and 1,669.03

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Solution

The third proportional to 761.81 and 1,669.03 is: 3,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.81 : 1,669.03 = 1,669.03 : x
  2. Step 2: Convert to fraction form
    761.81/1,669.03 = 1,669.03/x
  3. Step 3: Cross multiply
    761.81x = 1,669.03 × 1,669.03
  4. Step 4: Simplify right side
    761.81x = 2,785,665.31
  5. Step 5: Solve for x
    x = 2,785,665.31/761.81
  6. Step 6: Final answer
    x = 3,656.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.