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Finding the Third Proportional to 471.23 and 1,036.45

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Solution

The third proportional to 471.23 and 1,036.45 is: 2,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.23 : 1,036.45 = 1,036.45 : x
  2. Step 2: Convert to fraction form
    471.23/1,036.45 = 1,036.45/x
  3. Step 3: Cross multiply
    471.23x = 1,036.45 × 1,036.45
  4. Step 4: Simplify right side
    471.23x = 1,074,235.08
  5. Step 5: Solve for x
    x = 1,074,235.08/471.23
  6. Step 6: Final answer
    x = 2,279.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.