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Finding the Third Proportional to 99,940.50 and 214,702.50

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Solution

The third proportional to 99,940.50 and 214,702.50 is: 461,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,940.50 : 214,702.50 = 214,702.50 : x
  2. Step 2: Convert to fraction form
    99,940.50/214,702.50 = 214,702.50/x
  3. Step 3: Cross multiply
    99,940.50x = 214,702.50 × 214,702.50
  4. Step 4: Simplify right side
    99,940.50x = 46,097,163,506.25
  5. Step 5: Solve for x
    x = 46,097,163,506.25/99,940.50
  6. Step 6: Final answer
    x = 461,246.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.