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Finding the Third Proportional to 152,976 and 324,187

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Solution

The third proportional to 152,976 and 324,187 is: 687,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,976 : 324,187 = 324,187 : x
  2. Step 2: Convert to fraction form
    152,976/324,187 = 324,187/x
  3. Step 3: Cross multiply
    152,976x = 324,187 × 324,187
  4. Step 4: Simplify right side
    152,976x = 105,097,210,969
  5. Step 5: Solve for x
    x = 105,097,210,969/152,976
  6. Step 6: Final answer
    x = 687,017.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.