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Finding the Third Proportional to 8,935 and 13,594.50

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Solution

The third proportional to 8,935 and 13,594.50 is: 20,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935 : 13,594.50 = 13,594.50 : x
  2. Step 2: Convert to fraction form
    8,935/13,594.50 = 13,594.50/x
  3. Step 3: Cross multiply
    8,935x = 13,594.50 × 13,594.50
  4. Step 4: Simplify right side
    8,935x = 184,810,430.25
  5. Step 5: Solve for x
    x = 184,810,430.25/8,935
  6. Step 6: Final answer
    x = 20,683.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.