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Finding the Third Proportional to 423,814 and 640,042

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Solution

The third proportional to 423,814 and 640,042 is: 966,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,814 : 640,042 = 640,042 : x
  2. Step 2: Convert to fraction form
    423,814/640,042 = 640,042/x
  3. Step 3: Cross multiply
    423,814x = 640,042 × 640,042
  4. Step 4: Simplify right side
    423,814x = 409,653,761,764
  5. Step 5: Solve for x
    x = 409,653,761,764/423,814
  6. Step 6: Final answer
    x = 966,588.55

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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.