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Finding the Third Proportional to 156,942 and 336,348

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Solution

The third proportional to 156,942 and 336,348 is: 720,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 336,348 = 336,348 : x
  2. Step 2: Convert to fraction form
    156,942/336,348 = 336,348/x
  3. Step 3: Cross multiply
    156,942x = 336,348 × 336,348
  4. Step 4: Simplify right side
    156,942x = 113,129,977,104
  5. Step 5: Solve for x
    x = 113,129,977,104/156,942
  6. Step 6: Final answer
    x = 720,839.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.