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Finding the Third Proportional to 197,814 and 428,460

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Solution

The third proportional to 197,814 and 428,460 is: 928,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,814 : 428,460 = 428,460 : x
  2. Step 2: Convert to fraction form
    197,814/428,460 = 428,460/x
  3. Step 3: Cross multiply
    197,814x = 428,460 × 428,460
  4. Step 4: Simplify right side
    197,814x = 183,577,971,600
  5. Step 5: Solve for x
    x = 183,577,971,600/197,814
  6. Step 6: Final answer
    x = 928,033.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.