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Finding the Third Proportional to 423,422 and 601,863

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Solution

The third proportional to 423,422 and 601,863 is: 855,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,422 : 601,863 = 601,863 : x
  2. Step 2: Convert to fraction form
    423,422/601,863 = 601,863/x
  3. Step 3: Cross multiply
    423,422x = 601,863 × 601,863
  4. Step 4: Simplify right side
    423,422x = 362,239,070,769
  5. Step 5: Solve for x
    x = 362,239,070,769/423,422
  6. Step 6: Final answer
    x = 855,503.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.