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Finding the Third Proportional to 208,370 and 322,851

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Solution

The third proportional to 208,370 and 322,851 is: 500,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,370 : 322,851 = 322,851 : x
  2. Step 2: Convert to fraction form
    208,370/322,851 = 322,851/x
  3. Step 3: Cross multiply
    208,370x = 322,851 × 322,851
  4. Step 4: Simplify right side
    208,370x = 104,232,768,201
  5. Step 5: Solve for x
    x = 104,232,768,201/208,370
  6. Step 6: Final answer
    x = 500,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.