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Finding the Third Proportional to 4,448.04 and 7,230.20

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Solution

The third proportional to 4,448.04 and 7,230.20 is: 11,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.04 : 7,230.20 = 7,230.20 : x
  2. Step 2: Convert to fraction form
    4,448.04/7,230.20 = 7,230.20/x
  3. Step 3: Cross multiply
    4,448.04x = 7,230.20 × 7,230.20
  4. Step 4: Simplify right side
    4,448.04x = 52,275,780.74
  5. Step 5: Solve for x
    x = 52,275,780.74/4,448.04
  6. Step 6: Final answer
    x = 11,752.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.