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Finding the Third Proportional to 306,906 and 666,298

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Solution

The third proportional to 306,906 and 666,298 is: 1,446,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,906 : 666,298 = 666,298 : x
  2. Step 2: Convert to fraction form
    306,906/666,298 = 666,298/x
  3. Step 3: Cross multiply
    306,906x = 666,298 × 666,298
  4. Step 4: Simplify right side
    306,906x = 443,953,024,804
  5. Step 5: Solve for x
    x = 443,953,024,804/306,906
  6. Step 6: Final answer
    x = 1,446,543.97

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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.