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Finding the Third Proportional to 142,299 and 302,121

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Solution

The third proportional to 142,299 and 302,121 is: 641,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,299 : 302,121 = 302,121 : x
  2. Step 2: Convert to fraction form
    142,299/302,121 = 302,121/x
  3. Step 3: Cross multiply
    142,299x = 302,121 × 302,121
  4. Step 4: Simplify right side
    142,299x = 91,277,098,641
  5. Step 5: Solve for x
    x = 91,277,098,641/142,299
  6. Step 6: Final answer
    x = 641,445.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.