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Finding the Third Proportional to 196,712 and 426,728

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Solution

The third proportional to 196,712 and 426,728 is: 925,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,712 : 426,728 = 426,728 : x
  2. Step 2: Convert to fraction form
    196,712/426,728 = 426,728/x
  3. Step 3: Cross multiply
    196,712x = 426,728 × 426,728
  4. Step 4: Simplify right side
    196,712x = 182,096,785,984
  5. Step 5: Solve for x
    x = 182,096,785,984/196,712
  6. Step 6: Final answer
    x = 925,702.48

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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.