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Finding the Third Proportional to 196,396 and 426,056

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Solution

The third proportional to 196,396 and 426,056 is: 924,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,396 : 426,056 = 426,056 : x
  2. Step 2: Convert to fraction form
    196,396/426,056 = 426,056/x
  3. Step 3: Cross multiply
    196,396x = 426,056 × 426,056
  4. Step 4: Simplify right side
    196,396x = 181,523,715,136
  5. Step 5: Solve for x
    x = 181,523,715,136/196,396
  6. Step 6: Final answer
    x = 924,273.99

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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.