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Finding the Third Proportional to 133,724 and 288,346

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Solution

The third proportional to 133,724 and 288,346 is: 621,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,724 : 288,346 = 288,346 : x
  2. Step 2: Convert to fraction form
    133,724/288,346 = 288,346/x
  3. Step 3: Cross multiply
    133,724x = 288,346 × 288,346
  4. Step 4: Simplify right side
    133,724x = 83,143,415,716
  5. Step 5: Solve for x
    x = 83,143,415,716/133,724
  6. Step 6: Final answer
    x = 621,753.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.