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Finding the Third Proportional to 128,665 and 283,507

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Solution

The third proportional to 128,665 and 283,507 is: 624,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,665 : 283,507 = 283,507 : x
  2. Step 2: Convert to fraction form
    128,665/283,507 = 283,507/x
  3. Step 3: Cross multiply
    128,665x = 283,507 × 283,507
  4. Step 4: Simplify right side
    128,665x = 80,376,219,049
  5. Step 5: Solve for x
    x = 80,376,219,049/128,665
  6. Step 6: Final answer
    x = 624,693.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.