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Finding the Third Proportional to 85,730 and 208,026

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Solution

The third proportional to 85,730 and 208,026 is: 504,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730 : 208,026 = 208,026 : x
  2. Step 2: Convert to fraction form
    85,730/208,026 = 208,026/x
  3. Step 3: Cross multiply
    85,730x = 208,026 × 208,026
  4. Step 4: Simplify right side
    85,730x = 43,274,816,676
  5. Step 5: Solve for x
    x = 43,274,816,676/85,730
  6. Step 6: Final answer
    x = 504,780.32

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.