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Finding the Third Proportional to 210,835.50 and 453,909

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Solution

The third proportional to 210,835.50 and 453,909 is: 977,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,835.50 : 453,909 = 453,909 : x
  2. Step 2: Convert to fraction form
    210,835.50/453,909 = 453,909/x
  3. Step 3: Cross multiply
    210,835.50x = 453,909 × 453,909
  4. Step 4: Simplify right side
    210,835.50x = 206,033,380,281
  5. Step 5: Solve for x
    x = 206,033,380,281/210,835.50
  6. Step 6: Final answer
    x = 977,223.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.