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Finding the Third Proportional to 323,979 and 456,033

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Solution

The third proportional to 323,979 and 456,033 is: 641,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,979 : 456,033 = 456,033 : x
  2. Step 2: Convert to fraction form
    323,979/456,033 = 456,033/x
  3. Step 3: Cross multiply
    323,979x = 456,033 × 456,033
  4. Step 4: Simplify right side
    323,979x = 207,966,097,089
  5. Step 5: Solve for x
    x = 207,966,097,089/323,979
  6. Step 6: Final answer
    x = 641,912.28

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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.