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Finding the Third Proportional to 13,985 and 27,259.50

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Solution

The third proportional to 13,985 and 27,259.50 is: 53,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985 : 27,259.50 = 27,259.50 : x
  2. Step 2: Convert to fraction form
    13,985/27,259.50 = 27,259.50/x
  3. Step 3: Cross multiply
    13,985x = 27,259.50 × 27,259.50
  4. Step 4: Simplify right side
    13,985x = 743,080,340.25
  5. Step 5: Solve for x
    x = 743,080,340.25/13,985
  6. Step 6: Final answer
    x = 53,134.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.