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Finding the Third Proportional to 286,942.50 and 421,665.75

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Solution

The third proportional to 286,942.50 and 421,665.75 is: 619,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,942.50 : 421,665.75 = 421,665.75 : x
  2. Step 2: Convert to fraction form
    286,942.50/421,665.75 = 421,665.75/x
  3. Step 3: Cross multiply
    286,942.50x = 421,665.75 × 421,665.75
  4. Step 4: Simplify right side
    286,942.50x = 177,802,004,723.06
  5. Step 5: Solve for x
    x = 177,802,004,723.06/286,942.50
  6. Step 6: Final answer
    x = 619,643.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.