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Finding the Third Proportional to 129,357.63 and 201,904.52

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Solution

The third proportional to 129,357.63 and 201,904.52 is: 315,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,357.63 : 201,904.52 = 201,904.52 : x
  2. Step 2: Convert to fraction form
    129,357.63/201,904.52 = 201,904.52/x
  3. Step 3: Cross multiply
    129,357.63x = 201,904.52 × 201,904.52
  4. Step 4: Simplify right side
    129,357.63x = 40,765,436,584.52
  5. Step 5: Solve for x
    x = 40,765,436,584.52/129,357.63
  6. Step 6: Final answer
    x = 315,137.47

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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.