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Finding the Third Proportional to 217,437 and 477,749.25

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Solution

The third proportional to 217,437 and 477,749.25 is: 1,049,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,437 : 477,749.25 = 477,749.25 : x
  2. Step 2: Convert to fraction form
    217,437/477,749.25 = 477,749.25/x
  3. Step 3: Cross multiply
    217,437x = 477,749.25 × 477,749.25
  4. Step 4: Simplify right side
    217,437x = 228,244,345,875.56
  5. Step 5: Solve for x
    x = 228,244,345,875.56/217,437
  6. Step 6: Final answer
    x = 1,049,703.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.