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Finding the Third Proportional to 134,431 and 206,346

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Solution

The third proportional to 134,431 and 206,346 is: 316,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,431 : 206,346 = 206,346 : x
  2. Step 2: Convert to fraction form
    134,431/206,346 = 206,346/x
  3. Step 3: Cross multiply
    134,431x = 206,346 × 206,346
  4. Step 4: Simplify right side
    134,431x = 42,578,671,716
  5. Step 5: Solve for x
    x = 42,578,671,716/134,431
  6. Step 6: Final answer
    x = 316,732.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.