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Finding the Third Proportional to 100,775.25 and 219,973.50

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Solution

The third proportional to 100,775.25 and 219,973.50 is: 480,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775.25 : 219,973.50 = 219,973.50 : x
  2. Step 2: Convert to fraction form
    100,775.25/219,973.50 = 219,973.50/x
  3. Step 3: Cross multiply
    100,775.25x = 219,973.50 × 219,973.50
  4. Step 4: Simplify right side
    100,775.25x = 48,388,340,702.25
  5. Step 5: Solve for x
    x = 48,388,340,702.25/100,775.25
  6. Step 6: Final answer
    x = 480,160.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.