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Finding the Third Proportional to 136,809 and 333,274.50

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Solution

The third proportional to 136,809 and 333,274.50 is: 811,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,809 : 333,274.50 = 333,274.50 : x
  2. Step 2: Convert to fraction form
    136,809/333,274.50 = 333,274.50/x
  3. Step 3: Cross multiply
    136,809x = 333,274.50 × 333,274.50
  4. Step 4: Simplify right side
    136,809x = 111,071,892,350.25
  5. Step 5: Solve for x
    x = 111,071,892,350.25/136,809
  6. Step 6: Final answer
    x = 811,875.62

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.