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Finding the Third Proportional to 96,946 and 142,225

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Solution

The third proportional to 96,946 and 142,225 is: 208,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,946 : 142,225 = 142,225 : x
  2. Step 2: Convert to fraction form
    96,946/142,225 = 142,225/x
  3. Step 3: Cross multiply
    96,946x = 142,225 × 142,225
  4. Step 4: Simplify right side
    96,946x = 20,227,950,625
  5. Step 5: Solve for x
    x = 20,227,950,625/96,946
  6. Step 6: Final answer
    x = 208,651.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.