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Finding the Third Proportional to 472.75 and 730.25

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Solution

The third proportional to 472.75 and 730.25 is: 1,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.75 : 730.25 = 730.25 : x
  2. Step 2: Convert to fraction form
    472.75/730.25 = 730.25/x
  3. Step 3: Cross multiply
    472.75x = 730.25 × 730.25
  4. Step 4: Simplify right side
    472.75x = 533,265.06
  5. Step 5: Solve for x
    x = 533,265.06/472.75
  6. Step 6: Final answer
    x = 1,128.01

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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.