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Finding the Third Proportional to 134,725.50 and 207,705

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Solution

The third proportional to 134,725.50 and 207,705 is: 320,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,725.50 : 207,705 = 207,705 : x
  2. Step 2: Convert to fraction form
    134,725.50/207,705 = 207,705/x
  3. Step 3: Cross multiply
    134,725.50x = 207,705 × 207,705
  4. Step 4: Simplify right side
    134,725.50x = 43,141,367,025
  5. Step 5: Solve for x
    x = 43,141,367,025/134,725.50
  6. Step 6: Final answer
    x = 320,216.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.