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Finding the Third Proportional to 30,579 and 43,061.25

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Solution

The third proportional to 30,579 and 43,061.25 is: 60,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,579 : 43,061.25 = 43,061.25 : x
  2. Step 2: Convert to fraction form
    30,579/43,061.25 = 43,061.25/x
  3. Step 3: Cross multiply
    30,579x = 43,061.25 × 43,061.25
  4. Step 4: Simplify right side
    30,579x = 1,854,271,251.56
  5. Step 5: Solve for x
    x = 1,854,271,251.56/30,579
  6. Step 6: Final answer
    x = 60,638.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.