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Finding the Third Proportional to 143,848 and 302,863

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Solution

The third proportional to 143,848 and 302,863 is: 637,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,848 : 302,863 = 302,863 : x
  2. Step 2: Convert to fraction form
    143,848/302,863 = 302,863/x
  3. Step 3: Cross multiply
    143,848x = 302,863 × 302,863
  4. Step 4: Simplify right side
    143,848x = 91,725,996,769
  5. Step 5: Solve for x
    x = 91,725,996,769/143,848
  6. Step 6: Final answer
    x = 637,659.17

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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.