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Finding the Third Proportional to 136,315 and 206,925

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Solution

The third proportional to 136,315 and 206,925 is: 314,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,315 : 206,925 = 206,925 : x
  2. Step 2: Convert to fraction form
    136,315/206,925 = 206,925/x
  3. Step 3: Cross multiply
    136,315x = 206,925 × 206,925
  4. Step 4: Simplify right side
    136,315x = 42,817,955,625
  5. Step 5: Solve for x
    x = 42,817,955,625/136,315
  6. Step 6: Final answer
    x = 314,110.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.