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Finding the Third Proportional to 154,120 and 333,056

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Solution

The third proportional to 154,120 and 333,056 is: 719,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,120 : 333,056 = 333,056 : x
  2. Step 2: Convert to fraction form
    154,120/333,056 = 333,056/x
  3. Step 3: Cross multiply
    154,120x = 333,056 × 333,056
  4. Step 4: Simplify right side
    154,120x = 110,926,299,136
  5. Step 5: Solve for x
    x = 110,926,299,136/154,120
  6. Step 6: Final answer
    x = 719,739.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.