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Finding the Third Proportional to 134,430 and 206,345

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Solution

The third proportional to 134,430 and 206,345 is: 316,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,430 : 206,345 = 206,345 : x
  2. Step 2: Convert to fraction form
    134,430/206,345 = 206,345/x
  3. Step 3: Cross multiply
    134,430x = 206,345 × 206,345
  4. Step 4: Simplify right side
    134,430x = 42,578,259,025
  5. Step 5: Solve for x
    x = 42,578,259,025/134,430
  6. Step 6: Final answer
    x = 316,731.82

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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.