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Finding the Third Proportional to 110,827.50 and 216,115.50

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Solution

The third proportional to 110,827.50 and 216,115.50 is: 421,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,827.50 : 216,115.50 = 216,115.50 : x
  2. Step 2: Convert to fraction form
    110,827.50/216,115.50 = 216,115.50/x
  3. Step 3: Cross multiply
    110,827.50x = 216,115.50 × 216,115.50
  4. Step 4: Simplify right side
    110,827.50x = 46,705,909,340.25
  5. Step 5: Solve for x
    x = 46,705,909,340.25/110,827.50
  6. Step 6: Final answer
    x = 421,428.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.