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Finding the Third Proportional to 70,580.25 and 150,729.75

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Solution

The third proportional to 70,580.25 and 150,729.75 is: 321,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,580.25 : 150,729.75 = 150,729.75 : x
  2. Step 2: Convert to fraction form
    70,580.25/150,729.75 = 150,729.75/x
  3. Step 3: Cross multiply
    70,580.25x = 150,729.75 × 150,729.75
  4. Step 4: Simplify right side
    70,580.25x = 22,719,457,535.06
  5. Step 5: Solve for x
    x = 22,719,457,535.06/70,580.25
  6. Step 6: Final answer
    x = 321,895.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.