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Finding the Third Proportional to 20,970 and 40,881.94

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Solution

The third proportional to 20,970 and 40,881.94 is: 79,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970 : 40,881.94 = 40,881.94 : x
  2. Step 2: Convert to fraction form
    20,970/40,881.94 = 40,881.94/x
  3. Step 3: Cross multiply
    20,970x = 40,881.94 × 40,881.94
  4. Step 4: Simplify right side
    20,970x = 1,671,332,813.75
  5. Step 5: Solve for x
    x = 1,671,332,813.75/20,970
  6. Step 6: Final answer
    x = 79,701.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.