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Finding the Third Proportional to 431.42 and 897.01

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Solution

The third proportional to 431.42 and 897.01 is: 1,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 897.01 = 897.01 : x
  2. Step 2: Convert to fraction form
    431.42/897.01 = 897.01/x
  3. Step 3: Cross multiply
    431.42x = 897.01 × 897.01
  4. Step 4: Simplify right side
    431.42x = 804,630.02
  5. Step 5: Solve for x
    x = 804,630.02/431.42
  6. Step 6: Final answer
    x = 1,865.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.