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Finding the Third Proportional to 585.31 and 782.94

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Solution

The third proportional to 585.31 and 782.94 is: 1,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.31 : 782.94 = 782.94 : x
  2. Step 2: Convert to fraction form
    585.31/782.94 = 782.94/x
  3. Step 3: Cross multiply
    585.31x = 782.94 × 782.94
  4. Step 4: Simplify right side
    585.31x = 612,991.13
  5. Step 5: Solve for x
    x = 612,991.13/585.31
  6. Step 6: Final answer
    x = 1,047.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.