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Finding the Third Proportional to 135,023 and 290,821

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Solution

The third proportional to 135,023 and 290,821 is: 626,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,023 : 290,821 = 290,821 : x
  2. Step 2: Convert to fraction form
    135,023/290,821 = 290,821/x
  3. Step 3: Cross multiply
    135,023x = 290,821 × 290,821
  4. Step 4: Simplify right side
    135,023x = 84,576,854,041
  5. Step 5: Solve for x
    x = 84,576,854,041/135,023
  6. Step 6: Final answer
    x = 626,388.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.