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Finding the Third Proportional to 210,764 and 316,149

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Solution

The third proportional to 210,764 and 316,149 is: 474,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,764 : 316,149 = 316,149 : x
  2. Step 2: Convert to fraction form
    210,764/316,149 = 316,149/x
  3. Step 3: Cross multiply
    210,764x = 316,149 × 316,149
  4. Step 4: Simplify right side
    210,764x = 99,950,190,201
  5. Step 5: Solve for x
    x = 99,950,190,201/210,764
  6. Step 6: Final answer
    x = 474,228.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.