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Finding the Third Proportional to 310,796 and 666,904

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Solution

The third proportional to 310,796 and 666,904 is: 1,431,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,796 : 666,904 = 666,904 : x
  2. Step 2: Convert to fraction form
    310,796/666,904 = 666,904/x
  3. Step 3: Cross multiply
    310,796x = 666,904 × 666,904
  4. Step 4: Simplify right side
    310,796x = 444,760,945,216
  5. Step 5: Solve for x
    x = 444,760,945,216/310,796
  6. Step 6: Final answer
    x = 1,431,038.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.