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Finding the Third Proportional to 306,106 and 666,426

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Solution

The third proportional to 306,106 and 666,426 is: 1,450,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,106 : 666,426 = 666,426 : x
  2. Step 2: Convert to fraction form
    306,106/666,426 = 666,426/x
  3. Step 3: Cross multiply
    306,106x = 666,426 × 666,426
  4. Step 4: Simplify right side
    306,106x = 444,123,613,476
  5. Step 5: Solve for x
    x = 444,123,613,476/306,106
  6. Step 6: Final answer
    x = 1,450,881.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.