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Finding the Third Proportional to 305,650.34 and 663,814.30

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Solution

The third proportional to 305,650.34 and 663,814.30 is: 1,441,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,650.34 : 663,814.30 = 663,814.30 : x
  2. Step 2: Convert to fraction form
    305,650.34/663,814.30 = 663,814.30/x
  3. Step 3: Cross multiply
    305,650.34x = 663,814.30 × 663,814.30
  4. Step 4: Simplify right side
    305,650.34x = 440,649,425,921.70
  5. Step 5: Solve for x
    x = 440,649,425,921.70/305,650.34
  6. Step 6: Final answer
    x = 1,441,678.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.