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Finding the Third Proportional to 474.40 and 717.93

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Solution

The third proportional to 474.40 and 717.93 is: 1,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.40 : 717.93 = 717.93 : x
  2. Step 2: Convert to fraction form
    474.40/717.93 = 717.93/x
  3. Step 3: Cross multiply
    474.40x = 717.93 × 717.93
  4. Step 4: Simplify right side
    474.40x = 515,417.43
  5. Step 5: Solve for x
    x = 515,417.43/474.40
  6. Step 6: Final answer
    x = 1,086.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.