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Finding the Third Proportional to 361.88 and 780.05

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Solution

The third proportional to 361.88 and 780.05 is: 1,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.88 : 780.05 = 780.05 : x
  2. Step 2: Convert to fraction form
    361.88/780.05 = 780.05/x
  3. Step 3: Cross multiply
    361.88x = 780.05 × 780.05
  4. Step 4: Simplify right side
    361.88x = 608,473.13
  5. Step 5: Solve for x
    x = 608,473.13/361.88
  6. Step 6: Final answer
    x = 1,681.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.