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Finding the Third Proportional to 423,904 and 640,176

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Solution

The third proportional to 423,904 and 640,176 is: 966,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,904 : 640,176 = 640,176 : x
  2. Step 2: Convert to fraction form
    423,904/640,176 = 640,176/x
  3. Step 3: Cross multiply
    423,904x = 640,176 × 640,176
  4. Step 4: Simplify right side
    423,904x = 409,825,310,976
  5. Step 5: Solve for x
    x = 409,825,310,976/423,904
  6. Step 6: Final answer
    x = 966,788.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.