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Finding the Third Proportional to 142,416 and 303,240

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Solution

The third proportional to 142,416 and 303,240 is: 645,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416 : 303,240 = 303,240 : x
  2. Step 2: Convert to fraction form
    142,416/303,240 = 303,240/x
  3. Step 3: Cross multiply
    142,416x = 303,240 × 303,240
  4. Step 4: Simplify right side
    142,416x = 91,954,497,600
  5. Step 5: Solve for x
    x = 91,954,497,600/142,416
  6. Step 6: Final answer
    x = 645,675.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.