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Finding the Third Proportional to 196,561 and 426,495

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Solution

The third proportional to 196,561 and 426,495 is: 925,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,561 : 426,495 = 426,495 : x
  2. Step 2: Convert to fraction form
    196,561/426,495 = 426,495/x
  3. Step 3: Cross multiply
    196,561x = 426,495 × 426,495
  4. Step 4: Simplify right side
    196,561x = 181,897,985,025
  5. Step 5: Solve for x
    x = 181,897,985,025/196,561
  6. Step 6: Final answer
    x = 925,402.22

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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.