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Finding the Third Proportional to 306,871.88 and 666,231.75

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Solution

The third proportional to 306,871.88 and 666,231.75 is: 1,446,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,871.88 : 666,231.75 = 666,231.75 : x
  2. Step 2: Convert to fraction form
    306,871.88/666,231.75 = 666,231.75/x
  3. Step 3: Cross multiply
    306,871.88x = 666,231.75 × 666,231.75
  4. Step 4: Simplify right side
    306,871.88x = 443,864,744,708.06
  5. Step 5: Solve for x
    x = 443,864,744,708.06/306,871.88
  6. Step 6: Final answer
    x = 1,446,417.16

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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.