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Finding the Third Proportional to 142,928 and 313,504

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Solution

The third proportional to 142,928 and 313,504 is: 687,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,928 : 313,504 = 313,504 : x
  2. Step 2: Convert to fraction form
    142,928/313,504 = 313,504/x
  3. Step 3: Cross multiply
    142,928x = 313,504 × 313,504
  4. Step 4: Simplify right side
    142,928x = 98,284,758,016
  5. Step 5: Solve for x
    x = 98,284,758,016/142,928
  6. Step 6: Final answer
    x = 687,652.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.