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Finding the Third Proportional to 141,656 and 305,170

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Solution

The third proportional to 141,656 and 305,170 is: 657,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,656 : 305,170 = 305,170 : x
  2. Step 2: Convert to fraction form
    141,656/305,170 = 305,170/x
  3. Step 3: Cross multiply
    141,656x = 305,170 × 305,170
  4. Step 4: Simplify right side
    141,656x = 93,128,728,900
  5. Step 5: Solve for x
    x = 93,128,728,900/141,656
  6. Step 6: Final answer
    x = 657,428.76

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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.