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Finding the Third Proportional to 323,983 and 456,039

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Solution

The third proportional to 323,983 and 456,039 is: 641,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,983 : 456,039 = 456,039 : x
  2. Step 2: Convert to fraction form
    323,983/456,039 = 456,039/x
  3. Step 3: Cross multiply
    323,983x = 456,039 × 456,039
  4. Step 4: Simplify right side
    323,983x = 207,971,569,521
  5. Step 5: Solve for x
    x = 207,971,569,521/323,983
  6. Step 6: Final answer
    x = 641,921.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.