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Finding the Third Proportional to 9,579 and 20,317.50

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Solution

The third proportional to 9,579 and 20,317.50 is: 43,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579 : 20,317.50 = 20,317.50 : x
  2. Step 2: Convert to fraction form
    9,579/20,317.50 = 20,317.50/x
  3. Step 3: Cross multiply
    9,579x = 20,317.50 × 20,317.50
  4. Step 4: Simplify right side
    9,579x = 412,800,806.25
  5. Step 5: Solve for x
    x = 412,800,806.25/9,579
  6. Step 6: Final answer
    x = 43,094.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.