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Finding the Third Proportional to 153,931 and 324,539

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Solution

The third proportional to 153,931 and 324,539 is: 684,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,931 : 324,539 = 324,539 : x
  2. Step 2: Convert to fraction form
    153,931/324,539 = 324,539/x
  3. Step 3: Cross multiply
    153,931x = 324,539 × 324,539
  4. Step 4: Simplify right side
    153,931x = 105,325,562,521
  5. Step 5: Solve for x
    x = 105,325,562,521/153,931
  6. Step 6: Final answer
    x = 684,238.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.