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Finding the Third Proportional to 136,528.13 and 213,708.75

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Solution

The third proportional to 136,528.13 and 213,708.75 is: 334,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,528.13 : 213,708.75 = 213,708.75 : x
  2. Step 2: Convert to fraction form
    136,528.13/213,708.75 = 213,708.75/x
  3. Step 3: Cross multiply
    136,528.13x = 213,708.75 × 213,708.75
  4. Step 4: Simplify right side
    136,528.13x = 45,671,429,826.56
  5. Step 5: Solve for x
    x = 45,671,429,826.56/136,528.13
  6. Step 6: Final answer
    x = 334,520.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.