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Finding the Third Proportional to 478.41 and 734.70

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Solution

The third proportional to 478.41 and 734.70 is: 1,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.41 : 734.70 = 734.70 : x
  2. Step 2: Convert to fraction form
    478.41/734.70 = 734.70/x
  3. Step 3: Cross multiply
    478.41x = 734.70 × 734.70
  4. Step 4: Simplify right side
    478.41x = 539,777.20
  5. Step 5: Solve for x
    x = 539,777.20/478.41
  6. Step 6: Final answer
    x = 1,128.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.