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Finding the Third Proportional to 9,237.80 and 19,861.45

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Solution

The third proportional to 9,237.80 and 19,861.45 is: 42,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.80 : 19,861.45 = 19,861.45 : x
  2. Step 2: Convert to fraction form
    9,237.80/19,861.45 = 19,861.45/x
  3. Step 3: Cross multiply
    9,237.80x = 19,861.45 × 19,861.45
  4. Step 4: Simplify right side
    9,237.80x = 394,477,320.24
  5. Step 5: Solve for x
    x = 394,477,320.24/9,237.80
  6. Step 6: Final answer
    x = 42,702.53

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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.