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Finding the Third Proportional to 156,780 and 338,714

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Solution

The third proportional to 156,780 and 338,714 is: 731,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 338,714 = 338,714 : x
  2. Step 2: Convert to fraction form
    156,780/338,714 = 338,714/x
  3. Step 3: Cross multiply
    156,780x = 338,714 × 338,714
  4. Step 4: Simplify right side
    156,780x = 114,727,173,796
  5. Step 5: Solve for x
    x = 114,727,173,796/156,780
  6. Step 6: Final answer
    x = 731,771.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.