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Finding the Third Proportional to 13,890 and 29,971.50

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Solution

The third proportional to 13,890 and 29,971.50 is: 64,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890 : 29,971.50 = 29,971.50 : x
  2. Step 2: Convert to fraction form
    13,890/29,971.50 = 29,971.50/x
  3. Step 3: Cross multiply
    13,890x = 29,971.50 × 29,971.50
  4. Step 4: Simplify right side
    13,890x = 898,290,812.25
  5. Step 5: Solve for x
    x = 898,290,812.25/13,890
  6. Step 6: Final answer
    x = 64,671.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.