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Finding the Third Proportional to 301,838 and 408,470

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Solution

The third proportional to 301,838 and 408,470 is: 552,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,838 : 408,470 = 408,470 : x
  2. Step 2: Convert to fraction form
    301,838/408,470 = 408,470/x
  3. Step 3: Cross multiply
    301,838x = 408,470 × 408,470
  4. Step 4: Simplify right side
    301,838x = 166,847,740,900
  5. Step 5: Solve for x
    x = 166,847,740,900/301,838
  6. Step 6: Final answer
    x = 552,772.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.