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Finding the Third Proportional to 142,918 and 304,821

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Solution

The third proportional to 142,918 and 304,821 is: 650,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,918 : 304,821 = 304,821 : x
  2. Step 2: Convert to fraction form
    142,918/304,821 = 304,821/x
  3. Step 3: Cross multiply
    142,918x = 304,821 × 304,821
  4. Step 4: Simplify right side
    142,918x = 92,915,842,041
  5. Step 5: Solve for x
    x = 92,915,842,041/142,918
  6. Step 6: Final answer
    x = 650,133.94

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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.