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Finding the Third Proportional to 156,396 and 368,830

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Solution

The third proportional to 156,396 and 368,830 is: 869,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,396 : 368,830 = 368,830 : x
  2. Step 2: Convert to fraction form
    156,396/368,830 = 368,830/x
  3. Step 3: Cross multiply
    156,396x = 368,830 × 368,830
  4. Step 4: Simplify right side
    156,396x = 136,035,568,900
  5. Step 5: Solve for x
    x = 136,035,568,900/156,396
  6. Step 6: Final answer
    x = 869,814.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.