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Finding the Third Proportional to 142,265 and 305,617

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Solution

The third proportional to 142,265 and 305,617 is: 656,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,265 : 305,617 = 305,617 : x
  2. Step 2: Convert to fraction form
    142,265/305,617 = 305,617/x
  3. Step 3: Cross multiply
    142,265x = 305,617 × 305,617
  4. Step 4: Simplify right side
    142,265x = 93,401,750,689
  5. Step 5: Solve for x
    x = 93,401,750,689/142,265
  6. Step 6: Final answer
    x = 656,533.59

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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.