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Finding the Third Proportional to 210,758.20 and 321,416.86

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Solution

The third proportional to 210,758.20 and 321,416.86 is: 490,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,758.20 : 321,416.86 = 321,416.86 : x
  2. Step 2: Convert to fraction form
    210,758.20/321,416.86 = 321,416.86/x
  3. Step 3: Cross multiply
    210,758.20x = 321,416.86 × 321,416.86
  4. Step 4: Simplify right side
    210,758.20x = 103,308,797,490.49
  5. Step 5: Solve for x
    x = 103,308,797,490.49/210,758.20
  6. Step 6: Final answer
    x = 490,176.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.