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Finding the Third Proportional to 921.19 and 1,597.31

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Solution

The third proportional to 921.19 and 1,597.31 is: 2,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.19 : 1,597.31 = 1,597.31 : x
  2. Step 2: Convert to fraction form
    921.19/1,597.31 = 1,597.31/x
  3. Step 3: Cross multiply
    921.19x = 1,597.31 × 1,597.31
  4. Step 4: Simplify right side
    921.19x = 2,551,407.22
  5. Step 5: Solve for x
    x = 2,551,407.22/921.19
  6. Step 6: Final answer
    x = 2,769.69

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.