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Finding the Third Proportional to 156,982 and 335,509

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Solution

The third proportional to 156,982 and 335,509 is: 717,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 335,509 = 335,509 : x
  2. Step 2: Convert to fraction form
    156,982/335,509 = 335,509/x
  3. Step 3: Cross multiply
    156,982x = 335,509 × 335,509
  4. Step 4: Simplify right side
    156,982x = 112,566,289,081
  5. Step 5: Solve for x
    x = 112,566,289,081/156,982
  6. Step 6: Final answer
    x = 717,064.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.