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Finding the Third Proportional to 200,451 and 427,590

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Solution

The third proportional to 200,451 and 427,590 is: 912,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,451 : 427,590 = 427,590 : x
  2. Step 2: Convert to fraction form
    200,451/427,590 = 427,590/x
  3. Step 3: Cross multiply
    200,451x = 427,590 × 427,590
  4. Step 4: Simplify right side
    200,451x = 182,833,208,100
  5. Step 5: Solve for x
    x = 182,833,208,100/200,451
  6. Step 6: Final answer
    x = 912,109.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.