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Finding the Third Proportional to 286,420 and 420,856

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Solution

The third proportional to 286,420 and 420,856 is: 618,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,420 : 420,856 = 420,856 : x
  2. Step 2: Convert to fraction form
    286,420/420,856 = 420,856/x
  3. Step 3: Cross multiply
    286,420x = 420,856 × 420,856
  4. Step 4: Simplify right side
    286,420x = 177,119,772,736
  5. Step 5: Solve for x
    x = 177,119,772,736/286,420
  6. Step 6: Final answer
    x = 618,391.78

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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.