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Finding the Third Proportional to 153,929 and 324,535

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Solution

The third proportional to 153,929 and 324,535 is: 684,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,929 : 324,535 = 324,535 : x
  2. Step 2: Convert to fraction form
    153,929/324,535 = 324,535/x
  3. Step 3: Cross multiply
    153,929x = 324,535 × 324,535
  4. Step 4: Simplify right side
    153,929x = 105,322,966,225
  5. Step 5: Solve for x
    x = 105,322,966,225/153,929
  6. Step 6: Final answer
    x = 684,230.82

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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.