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Finding the Third Proportional to 20,153.81 and 31,311.56

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Solution

The third proportional to 20,153.81 and 31,311.56 is: 48,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.81 : 31,311.56 = 31,311.56 : x
  2. Step 2: Convert to fraction form
    20,153.81/31,311.56 = 31,311.56/x
  3. Step 3: Cross multiply
    20,153.81x = 31,311.56 × 31,311.56
  4. Step 4: Simplify right side
    20,153.81x = 980,413,946.19
  5. Step 5: Solve for x
    x = 980,413,946.19/20,153.81
  6. Step 6: Final answer
    x = 48,646.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.