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Finding the Third Proportional to 206,810.72 and 316,166.73

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Solution

The third proportional to 206,810.72 and 316,166.73 is: 483,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.72 : 316,166.73 = 316,166.73 : x
  2. Step 2: Convert to fraction form
    206,810.72/316,166.73 = 316,166.73/x
  3. Step 3: Cross multiply
    206,810.72x = 316,166.73 × 316,166.73
  4. Step 4: Simplify right side
    206,810.72x = 99,961,401,455.30
  5. Step 5: Solve for x
    x = 99,961,401,455.30/206,810.72
  6. Step 6: Final answer
    x = 483,347.29

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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.