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Finding the Third Proportional to 142,644 and 301,203

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Solution

The third proportional to 142,644 and 301,203 is: 636,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,644 : 301,203 = 301,203 : x
  2. Step 2: Convert to fraction form
    142,644/301,203 = 301,203/x
  3. Step 3: Cross multiply
    142,644x = 301,203 × 301,203
  4. Step 4: Simplify right side
    142,644x = 90,723,247,209
  5. Step 5: Solve for x
    x = 90,723,247,209/142,644
  6. Step 6: Final answer
    x = 636,011.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.