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Finding the Third Proportional to 141,813.28 and 305,129.53

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Solution

The third proportional to 141,813.28 and 305,129.53 is: 656,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,813.28 : 305,129.53 = 305,129.53 : x
  2. Step 2: Convert to fraction form
    141,813.28/305,129.53 = 305,129.53/x
  3. Step 3: Cross multiply
    141,813.28x = 305,129.53 × 305,129.53
  4. Step 4: Simplify right side
    141,813.28x = 93,104,030,840.84
  5. Step 5: Solve for x
    x = 93,104,030,840.84/141,813.28
  6. Step 6: Final answer
    x = 656,525.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.