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Finding the Third Proportional to 10,539 and 13,594.50

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Solution

The third proportional to 10,539 and 13,594.50 is: 17,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 13,594.50 = 13,594.50 : x
  2. Step 2: Convert to fraction form
    10,539/13,594.50 = 13,594.50/x
  3. Step 3: Cross multiply
    10,539x = 13,594.50 × 13,594.50
  4. Step 4: Simplify right side
    10,539x = 184,810,430.25
  5. Step 5: Solve for x
    x = 184,810,430.25/10,539
  6. Step 6: Final answer
    x = 17,535.86

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.