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Finding the Third Proportional to 308,070 and 666,684

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Solution

The third proportional to 308,070 and 666,684 is: 1,442,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,070 : 666,684 = 666,684 : x
  2. Step 2: Convert to fraction form
    308,070/666,684 = 666,684/x
  3. Step 3: Cross multiply
    308,070x = 666,684 × 666,684
  4. Step 4: Simplify right side
    308,070x = 444,467,555,856
  5. Step 5: Solve for x
    x = 444,467,555,856/308,070
  6. Step 6: Final answer
    x = 1,442,748.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.