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Finding the Third Proportional to 218,445.75 and 331,051.50

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Solution

The third proportional to 218,445.75 and 331,051.50 is: 501,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,445.75 : 331,051.50 = 331,051.50 : x
  2. Step 2: Convert to fraction form
    218,445.75/331,051.50 = 331,051.50/x
  3. Step 3: Cross multiply
    218,445.75x = 331,051.50 × 331,051.50
  4. Step 4: Simplify right side
    218,445.75x = 109,595,095,652.25
  5. Step 5: Solve for x
    x = 109,595,095,652.25/218,445.75
  6. Step 6: Final answer
    x = 501,703.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.