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Finding the Third Proportional to 200,522 and 431,175

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Solution

The third proportional to 200,522 and 431,175 is: 927,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,522 : 431,175 = 431,175 : x
  2. Step 2: Convert to fraction form
    200,522/431,175 = 431,175/x
  3. Step 3: Cross multiply
    200,522x = 431,175 × 431,175
  4. Step 4: Simplify right side
    200,522x = 185,911,880,625
  5. Step 5: Solve for x
    x = 185,911,880,625/200,522
  6. Step 6: Final answer
    x = 927,139.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.