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Finding the Third Proportional to 134,140.50 and 214,332.75

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Solution

The third proportional to 134,140.50 and 214,332.75 is: 342,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,140.50 : 214,332.75 = 214,332.75 : x
  2. Step 2: Convert to fraction form
    134,140.50/214,332.75 = 214,332.75/x
  3. Step 3: Cross multiply
    134,140.50x = 214,332.75 × 214,332.75
  4. Step 4: Simplify right side
    134,140.50x = 45,938,527,722.56
  5. Step 5: Solve for x
    x = 45,938,527,722.56/134,140.50
  6. Step 6: Final answer
    x = 342,465.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.