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Finding the Third Proportional to 218,034 and 294,489

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Solution

The third proportional to 218,034 and 294,489 is: 397,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,034 : 294,489 = 294,489 : x
  2. Step 2: Convert to fraction form
    218,034/294,489 = 294,489/x
  3. Step 3: Cross multiply
    218,034x = 294,489 × 294,489
  4. Step 4: Simplify right side
    218,034x = 86,723,771,121
  5. Step 5: Solve for x
    x = 86,723,771,121/218,034
  6. Step 6: Final answer
    x = 397,753.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.