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Finding the Third Proportional to 156,448 and 336,475

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Solution

The third proportional to 156,448 and 336,475 is: 723,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,448 : 336,475 = 336,475 : x
  2. Step 2: Convert to fraction form
    156,448/336,475 = 336,475/x
  3. Step 3: Cross multiply
    156,448x = 336,475 × 336,475
  4. Step 4: Simplify right side
    156,448x = 113,215,425,625
  5. Step 5: Solve for x
    x = 113,215,425,625/156,448
  6. Step 6: Final answer
    x = 723,661.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.