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Finding the Third Proportional to 92,507 and 200,566

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Solution

The third proportional to 92,507 and 200,566 is: 434,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,507 : 200,566 = 200,566 : x
  2. Step 2: Convert to fraction form
    92,507/200,566 = 200,566/x
  3. Step 3: Cross multiply
    92,507x = 200,566 × 200,566
  4. Step 4: Simplify right side
    92,507x = 40,226,720,356
  5. Step 5: Solve for x
    x = 40,226,720,356/92,507
  6. Step 6: Final answer
    x = 434,850.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.