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Finding the Third Proportional to 200,521 and 417,627

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Solution

The third proportional to 200,521 and 417,627 is: 869,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,521 : 417,627 = 417,627 : x
  2. Step 2: Convert to fraction form
    200,521/417,627 = 417,627/x
  3. Step 3: Cross multiply
    200,521x = 417,627 × 417,627
  4. Step 4: Simplify right side
    200,521x = 174,412,311,129
  5. Step 5: Solve for x
    x = 174,412,311,129/200,521
  6. Step 6: Final answer
    x = 869,795.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.