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Finding the Third Proportional to 96,960 and 142,368

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Solution

The third proportional to 96,960 and 142,368 is: 209,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,960 : 142,368 = 142,368 : x
  2. Step 2: Convert to fraction form
    96,960/142,368 = 142,368/x
  3. Step 3: Cross multiply
    96,960x = 142,368 × 142,368
  4. Step 4: Simplify right side
    96,960x = 20,268,647,424
  5. Step 5: Solve for x
    x = 20,268,647,424/96,960
  6. Step 6: Final answer
    x = 209,041.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.