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Finding the Third Proportional to 142,954 and 304,909

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Solution

The third proportional to 142,954 and 304,909 is: 650,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,954 : 304,909 = 304,909 : x
  2. Step 2: Convert to fraction form
    142,954/304,909 = 304,909/x
  3. Step 3: Cross multiply
    142,954x = 304,909 × 304,909
  4. Step 4: Simplify right side
    142,954x = 92,969,498,281
  5. Step 5: Solve for x
    x = 92,969,498,281/142,954
  6. Step 6: Final answer
    x = 650,345.55

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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.