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Finding the Third Proportional to 20,989.75 and 31,985.75

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Solution

The third proportional to 20,989.75 and 31,985.75 is: 48,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.75 : 31,985.75 = 31,985.75 : x
  2. Step 2: Convert to fraction form
    20,989.75/31,985.75 = 31,985.75/x
  3. Step 3: Cross multiply
    20,989.75x = 31,985.75 × 31,985.75
  4. Step 4: Simplify right side
    20,989.75x = 1,023,088,203.06
  5. Step 5: Solve for x
    x = 1,023,088,203.06/20,989.75
  6. Step 6: Final answer
    x = 48,742.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.