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Finding the Third Proportional to 206,952,421.50 and 450,646,443

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Solution

The third proportional to 206,952,421.50 and 450,646,443 is: 981,299,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952,421.50 : 450,646,443 = 450,646,443 : x
  2. Step 2: Convert to fraction form
    206,952,421.50/450,646,443 = 450,646,443/x
  3. Step 3: Cross multiply
    206,952,421.50x = 450,646,443 × 450,646,443
  4. Step 4: Simplify right side
    206,952,421.50x = 203,082,216,588,552,256
  5. Step 5: Solve for x
    x = 203,082,216,588,552,256/206,952,421.50
  6. Step 6: Final answer
    x = 981,299,059.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.