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Finding the Third Proportional to 288,154 and 422,892

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Solution

The third proportional to 288,154 and 422,892 is: 620,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,154 : 422,892 = 422,892 : x
  2. Step 2: Convert to fraction form
    288,154/422,892 = 422,892/x
  3. Step 3: Cross multiply
    288,154x = 422,892 × 422,892
  4. Step 4: Simplify right side
    288,154x = 178,837,643,664
  5. Step 5: Solve for x
    x = 178,837,643,664/288,154
  6. Step 6: Final answer
    x = 620,632.17

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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.