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Finding the Third Proportional to 18,868.50 and 29,970

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Solution

The third proportional to 18,868.50 and 29,970 is: 47,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,868.50 : 29,970 = 29,970 : x
  2. Step 2: Convert to fraction form
    18,868.50/29,970 = 29,970/x
  3. Step 3: Cross multiply
    18,868.50x = 29,970 × 29,970
  4. Step 4: Simplify right side
    18,868.50x = 898,200,900
  5. Step 5: Solve for x
    x = 898,200,900/18,868.50
  6. Step 6: Final answer
    x = 47,603.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.