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Finding the Third Proportional to 310,806 and 666,924

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Solution

The third proportional to 310,806 and 666,924 is: 1,431,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,806 : 666,924 = 666,924 : x
  2. Step 2: Convert to fraction form
    310,806/666,924 = 666,924/x
  3. Step 3: Cross multiply
    310,806x = 666,924 × 666,924
  4. Step 4: Simplify right side
    310,806x = 444,787,621,776
  5. Step 5: Solve for x
    x = 444,787,621,776/310,806
  6. Step 6: Final answer
    x = 1,431,077.98

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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.