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Finding the Third Proportional to 301,077.38 and 440,311.13

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Solution

The third proportional to 301,077.38 and 440,311.13 is: 643,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077.38 : 440,311.13 = 440,311.13 : x
  2. Step 2: Convert to fraction form
    301,077.38/440,311.13 = 440,311.13/x
  3. Step 3: Cross multiply
    301,077.38x = 440,311.13 × 440,311.13
  4. Step 4: Simplify right side
    301,077.38x = 193,873,886,798.77
  5. Step 5: Solve for x
    x = 193,873,886,798.77/301,077.38
  6. Step 6: Final answer
    x = 643,933.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.