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Finding the Third Proportional to 197,818 and 428,468

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Solution

The third proportional to 197,818 and 428,468 is: 928,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,818 : 428,468 = 428,468 : x
  2. Step 2: Convert to fraction form
    197,818/428,468 = 428,468/x
  3. Step 3: Cross multiply
    197,818x = 428,468 × 428,468
  4. Step 4: Simplify right side
    197,818x = 183,584,827,024
  5. Step 5: Solve for x
    x = 183,584,827,024/197,818
  6. Step 6: Final answer
    x = 928,049.15

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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.