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Finding the Third Proportional to 156,396 and 251,816

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Solution

The third proportional to 156,396 and 251,816 is: 405,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,396 : 251,816 = 251,816 : x
  2. Step 2: Convert to fraction form
    156,396/251,816 = 251,816/x
  3. Step 3: Cross multiply
    156,396x = 251,816 × 251,816
  4. Step 4: Simplify right side
    156,396x = 63,411,297,856
  5. Step 5: Solve for x
    x = 63,411,297,856/156,396
  6. Step 6: Final answer
    x = 405,453.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.