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Finding the Third Proportional to 13,533 and 31,390.50

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Solution

The third proportional to 13,533 and 31,390.50 is: 72,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533 : 31,390.50 = 31,390.50 : x
  2. Step 2: Convert to fraction form
    13,533/31,390.50 = 31,390.50/x
  3. Step 3: Cross multiply
    13,533x = 31,390.50 × 31,390.50
  4. Step 4: Simplify right side
    13,533x = 985,363,490.25
  5. Step 5: Solve for x
    x = 985,363,490.25/13,533
  6. Step 6: Final answer
    x = 72,811.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.