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Finding the Third Proportional to 13,643 and 21,027.50

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Solution

The third proportional to 13,643 and 21,027.50 is: 32,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643 : 21,027.50 = 21,027.50 : x
  2. Step 2: Convert to fraction form
    13,643/21,027.50 = 21,027.50/x
  3. Step 3: Cross multiply
    13,643x = 21,027.50 × 21,027.50
  4. Step 4: Simplify right side
    13,643x = 442,155,756.25
  5. Step 5: Solve for x
    x = 442,155,756.25/13,643
  6. Step 6: Final answer
    x = 32,408.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.