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Finding the Third Proportional to 8,749.90 and 18,897.05

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Solution

The third proportional to 8,749.90 and 18,897.05 is: 40,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.90 : 18,897.05 = 18,897.05 : x
  2. Step 2: Convert to fraction form
    8,749.90/18,897.05 = 18,897.05/x
  3. Step 3: Cross multiply
    8,749.90x = 18,897.05 × 18,897.05
  4. Step 4: Simplify right side
    8,749.90x = 357,098,380.60
  5. Step 5: Solve for x
    x = 357,098,380.60/8,749.90
  6. Step 6: Final answer
    x = 40,811.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.