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Finding the Third Proportional to 86,026 and 202,425

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Solution

The third proportional to 86,026 and 202,425 is: 476,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,026 : 202,425 = 202,425 : x
  2. Step 2: Convert to fraction form
    86,026/202,425 = 202,425/x
  3. Step 3: Cross multiply
    86,026x = 202,425 × 202,425
  4. Step 4: Simplify right side
    86,026x = 40,975,880,625
  5. Step 5: Solve for x
    x = 40,975,880,625/86,026
  6. Step 6: Final answer
    x = 476,319.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.