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Finding the Third Proportional to 215,700.75 and 295,870.50

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Solution

The third proportional to 215,700.75 and 295,870.50 is: 405,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,700.75 : 295,870.50 = 295,870.50 : x
  2. Step 2: Convert to fraction form
    215,700.75/295,870.50 = 295,870.50/x
  3. Step 3: Cross multiply
    215,700.75x = 295,870.50 × 295,870.50
  4. Step 4: Simplify right side
    215,700.75x = 87,539,352,770.25
  5. Step 5: Solve for x
    x = 87,539,352,770.25/215,700.75
  6. Step 6: Final answer
    x = 405,837.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.