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Finding the Third Proportional to 423,850 and 640,096

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Solution

The third proportional to 423,850 and 640,096 is: 966,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,850 : 640,096 = 640,096 : x
  2. Step 2: Convert to fraction form
    423,850/640,096 = 640,096/x
  3. Step 3: Cross multiply
    423,850x = 640,096 × 640,096
  4. Step 4: Simplify right side
    423,850x = 409,722,889,216
  5. Step 5: Solve for x
    x = 409,722,889,216/423,850
  6. Step 6: Final answer
    x = 966,669.55

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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.