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Finding the Third Proportional to 309,247 and 670,972

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Solution

The third proportional to 309,247 and 670,972 is: 1,455,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,247 : 670,972 = 670,972 : x
  2. Step 2: Convert to fraction form
    309,247/670,972 = 670,972/x
  3. Step 3: Cross multiply
    309,247x = 670,972 × 670,972
  4. Step 4: Simplify right side
    309,247x = 450,203,424,784
  5. Step 5: Solve for x
    x = 450,203,424,784/309,247
  6. Step 6: Final answer
    x = 1,455,805.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.