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Finding the Third Proportional to 92,646 and 202,020

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Solution

The third proportional to 92,646 and 202,020 is: 440,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646 : 202,020 = 202,020 : x
  2. Step 2: Convert to fraction form
    92,646/202,020 = 202,020/x
  3. Step 3: Cross multiply
    92,646x = 202,020 × 202,020
  4. Step 4: Simplify right side
    92,646x = 40,812,080,400
  5. Step 5: Solve for x
    x = 40,812,080,400/92,646
  6. Step 6: Final answer
    x = 440,516.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.