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Finding the Third Proportional to 239,819 and 346,469

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Solution

The third proportional to 239,819 and 346,469 is: 500,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,819 : 346,469 = 346,469 : x
  2. Step 2: Convert to fraction form
    239,819/346,469 = 346,469/x
  3. Step 3: Cross multiply
    239,819x = 346,469 × 346,469
  4. Step 4: Simplify right side
    239,819x = 120,040,767,961
  5. Step 5: Solve for x
    x = 120,040,767,961/239,819
  6. Step 6: Final answer
    x = 500,547.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.