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Finding the Third Proportional to 917.24 and 1,393.36

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Solution

The third proportional to 917.24 and 1,393.36 is: 2,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.24 : 1,393.36 = 1,393.36 : x
  2. Step 2: Convert to fraction form
    917.24/1,393.36 = 1,393.36/x
  3. Step 3: Cross multiply
    917.24x = 1,393.36 × 1,393.36
  4. Step 4: Simplify right side
    917.24x = 1,941,454.43
  5. Step 5: Solve for x
    x = 1,941,454.43/917.24
  6. Step 6: Final answer
    x = 2,116.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.