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Finding the Third Proportional to 133,509 and 206,655.75

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Solution

The third proportional to 133,509 and 206,655.75 is: 319,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509 : 206,655.75 = 206,655.75 : x
  2. Step 2: Convert to fraction form
    133,509/206,655.75 = 206,655.75/x
  3. Step 3: Cross multiply
    133,509x = 206,655.75 × 206,655.75
  4. Step 4: Simplify right side
    133,509x = 42,706,599,008.06
  5. Step 5: Solve for x
    x = 42,706,599,008.06/133,509
  6. Step 6: Final answer
    x = 319,878.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.