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Finding the Third Proportional to 857.63 and 1,162.31

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Solution

The third proportional to 857.63 and 1,162.31 is: 1,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.63 : 1,162.31 = 1,162.31 : x
  2. Step 2: Convert to fraction form
    857.63/1,162.31 = 1,162.31/x
  3. Step 3: Cross multiply
    857.63x = 1,162.31 × 1,162.31
  4. Step 4: Simplify right side
    857.63x = 1,350,970.35
  5. Step 5: Solve for x
    x = 1,350,970.35/857.63
  6. Step 6: Final answer
    x = 1,575.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.