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Finding the Third Proportional to 20,420.50 and 43,970

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Solution

The third proportional to 20,420.50 and 43,970 is: 94,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.50 : 43,970 = 43,970 : x
  2. Step 2: Convert to fraction form
    20,420.50/43,970 = 43,970/x
  3. Step 3: Cross multiply
    20,420.50x = 43,970 × 43,970
  4. Step 4: Simplify right side
    20,420.50x = 1,933,360,900
  5. Step 5: Solve for x
    x = 1,933,360,900/20,420.50
  6. Step 6: Final answer
    x = 94,677.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.