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Finding the Third Proportional to 217,811 and 342,287

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Solution

The third proportional to 217,811 and 342,287 is: 537,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,811 : 342,287 = 342,287 : x
  2. Step 2: Convert to fraction form
    217,811/342,287 = 342,287/x
  3. Step 3: Cross multiply
    217,811x = 342,287 × 342,287
  4. Step 4: Simplify right side
    217,811x = 117,160,390,369
  5. Step 5: Solve for x
    x = 117,160,390,369/217,811
  6. Step 6: Final answer
    x = 537,899.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.