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Finding the Third Proportional to 730.90 and 860.94

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Solution

The third proportional to 730.90 and 860.94 is: 1,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.90 : 860.94 = 860.94 : x
  2. Step 2: Convert to fraction form
    730.90/860.94 = 860.94/x
  3. Step 3: Cross multiply
    730.90x = 860.94 × 860.94
  4. Step 4: Simplify right side
    730.90x = 741,220.10
  5. Step 5: Solve for x
    x = 741,220.10/730.90
  6. Step 6: Final answer
    x = 1,014.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.