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Finding the Third Proportional to 129,890.25 and 203,036.63

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Solution

The third proportional to 129,890.25 and 203,036.63 is: 317,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,890.25 : 203,036.63 = 203,036.63 : x
  2. Step 2: Convert to fraction form
    129,890.25/203,036.63 = 203,036.63/x
  3. Step 3: Cross multiply
    129,890.25x = 203,036.63 × 203,036.63
  4. Step 4: Simplify right side
    129,890.25x = 41,223,871,091.39
  5. Step 5: Solve for x
    x = 41,223,871,091.39/129,890.25
  6. Step 6: Final answer
    x = 317,374.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.