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Finding the Third Proportional to 215,603 and 458,816.50

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Solution

The third proportional to 215,603 and 458,816.50 is: 976,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,603 : 458,816.50 = 458,816.50 : x
  2. Step 2: Convert to fraction form
    215,603/458,816.50 = 458,816.50/x
  3. Step 3: Cross multiply
    215,603x = 458,816.50 × 458,816.50
  4. Step 4: Simplify right side
    215,603x = 210,512,580,672.25
  5. Step 5: Solve for x
    x = 210,512,580,672.25/215,603
  6. Step 6: Final answer
    x = 976,389.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.