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Finding the Third Proportional to 156,116 and 338,478

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Solution

The third proportional to 156,116 and 338,478 is: 733,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,116 : 338,478 = 338,478 : x
  2. Step 2: Convert to fraction form
    156,116/338,478 = 338,478/x
  3. Step 3: Cross multiply
    156,116x = 338,478 × 338,478
  4. Step 4: Simplify right side
    156,116x = 114,567,356,484
  5. Step 5: Solve for x
    x = 114,567,356,484/156,116
  6. Step 6: Final answer
    x = 733,860.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.