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Finding the Third Proportional to 607.13 and 859.31

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Solution

The third proportional to 607.13 and 859.31 is: 1,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.13 : 859.31 = 859.31 : x
  2. Step 2: Convert to fraction form
    607.13/859.31 = 859.31/x
  3. Step 3: Cross multiply
    607.13x = 859.31 × 859.31
  4. Step 4: Simplify right side
    607.13x = 738,417.97
  5. Step 5: Solve for x
    x = 738,417.97/607.13
  6. Step 6: Final answer
    x = 1,216.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.