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Finding the Third Proportional to 156,678 and 335,482

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Solution

The third proportional to 156,678 and 335,482 is: 718,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,678 : 335,482 = 335,482 : x
  2. Step 2: Convert to fraction form
    156,678/335,482 = 335,482/x
  3. Step 3: Cross multiply
    156,678x = 335,482 × 335,482
  4. Step 4: Simplify right side
    156,678x = 112,548,172,324
  5. Step 5: Solve for x
    x = 112,548,172,324/156,678
  6. Step 6: Final answer
    x = 718,340.62

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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.