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Finding the Third Proportional to 103,666.50 and 218,400.75

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Solution

The third proportional to 103,666.50 and 218,400.75 is: 460,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,666.50 : 218,400.75 = 218,400.75 : x
  2. Step 2: Convert to fraction form
    103,666.50/218,400.75 = 218,400.75/x
  3. Step 3: Cross multiply
    103,666.50x = 218,400.75 × 218,400.75
  4. Step 4: Simplify right side
    103,666.50x = 47,698,887,600.56
  5. Step 5: Solve for x
    x = 47,698,887,600.56/103,666.50
  6. Step 6: Final answer
    x = 460,118.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.