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Finding the Third Proportional to 142,958 and 304,918

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Solution

The third proportional to 142,958 and 304,918 is: 650,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,958 : 304,918 = 304,918 : x
  2. Step 2: Convert to fraction form
    142,958/304,918 = 304,918/x
  3. Step 3: Cross multiply
    142,958x = 304,918 × 304,918
  4. Step 4: Simplify right side
    142,958x = 92,974,986,724
  5. Step 5: Solve for x
    x = 92,974,986,724/142,958
  6. Step 6: Final answer
    x = 650,365.75

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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.