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Finding the Third Proportional to 142,912 and 301,863

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Solution

The third proportional to 142,912 and 301,863 is: 637,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912 : 301,863 = 301,863 : x
  2. Step 2: Convert to fraction form
    142,912/301,863 = 301,863/x
  3. Step 3: Cross multiply
    142,912x = 301,863 × 301,863
  4. Step 4: Simplify right side
    142,912x = 91,121,270,769
  5. Step 5: Solve for x
    x = 91,121,270,769/142,912
  6. Step 6: Final answer
    x = 637,604.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.