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Finding the Third Proportional to 899 and 2,415.50

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Solution

The third proportional to 899 and 2,415.50 is: 6,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    899 : 2,415.50 = 2,415.50 : x
  2. Step 2: Convert to fraction form
    899/2,415.50 = 2,415.50/x
  3. Step 3: Cross multiply
    899x = 2,415.50 × 2,415.50
  4. Step 4: Simplify right side
    899x = 5,834,640.25
  5. Step 5: Solve for x
    x = 5,834,640.25/899
  6. Step 6: Final answer
    x = 6,490.14

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.