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Finding the Third Proportional to 217,743.19 and 320,207.55

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Solution

The third proportional to 217,743.19 and 320,207.55 is: 470,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,743.19 : 320,207.55 = 320,207.55 : x
  2. Step 2: Convert to fraction form
    217,743.19/320,207.55 = 320,207.55/x
  3. Step 3: Cross multiply
    217,743.19x = 320,207.55 × 320,207.55
  4. Step 4: Simplify right side
    217,743.19x = 102,532,878,078.95
  5. Step 5: Solve for x
    x = 102,532,878,078.95/217,743.19
  6. Step 6: Final answer
    x = 470,889.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.