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Finding the Third Proportional to 94,266 and 202,025

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Solution

The third proportional to 94,266 and 202,025 is: 432,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,266 : 202,025 = 202,025 : x
  2. Step 2: Convert to fraction form
    94,266/202,025 = 202,025/x
  3. Step 3: Cross multiply
    94,266x = 202,025 × 202,025
  4. Step 4: Simplify right side
    94,266x = 40,814,100,625
  5. Step 5: Solve for x
    x = 40,814,100,625/94,266
  6. Step 6: Final answer
    x = 432,967.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.