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Finding the Third Proportional to 133,357.50 and 206,356.50

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Solution

The third proportional to 133,357.50 and 206,356.50 is: 319,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,357.50 : 206,356.50 = 206,356.50 : x
  2. Step 2: Convert to fraction form
    133,357.50/206,356.50 = 206,356.50/x
  3. Step 3: Cross multiply
    133,357.50x = 206,356.50 × 206,356.50
  4. Step 4: Simplify right side
    133,357.50x = 42,583,005,092.25
  5. Step 5: Solve for x
    x = 42,583,005,092.25/133,357.50
  6. Step 6: Final answer
    x = 319,314.66

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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.