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Finding the Third Proportional to 208,425 and 322,935

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Solution

The third proportional to 208,425 and 322,935 is: 500,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,425 : 322,935 = 322,935 : x
  2. Step 2: Convert to fraction form
    208,425/322,935 = 322,935/x
  3. Step 3: Cross multiply
    208,425x = 322,935 × 322,935
  4. Step 4: Simplify right side
    208,425x = 104,287,014,225
  5. Step 5: Solve for x
    x = 104,287,014,225/208,425
  6. Step 6: Final answer
    x = 500,357.51

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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.