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Finding the Third Proportional to 387.56 and 896.91

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Solution

The third proportional to 387.56 and 896.91 is: 2,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.56 : 896.91 = 896.91 : x
  2. Step 2: Convert to fraction form
    387.56/896.91 = 896.91/x
  3. Step 3: Cross multiply
    387.56x = 896.91 × 896.91
  4. Step 4: Simplify right side
    387.56x = 804,440.82
  5. Step 5: Solve for x
    x = 804,440.82/387.56
  6. Step 6: Final answer
    x = 2,075.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.