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Finding the Third Proportional to 142,170 and 306,504

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Solution

The third proportional to 142,170 and 306,504 is: 660,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,170 : 306,504 = 306,504 : x
  2. Step 2: Convert to fraction form
    142,170/306,504 = 306,504/x
  3. Step 3: Cross multiply
    142,170x = 306,504 × 306,504
  4. Step 4: Simplify right side
    142,170x = 93,944,702,016
  5. Step 5: Solve for x
    x = 93,944,702,016/142,170
  6. Step 6: Final answer
    x = 660,791.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.