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Finding the Third Proportional to 666,781 and 1,440,174

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Solution

The third proportional to 666,781 and 1,440,174 is: 3,110,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,781 : 1,440,174 = 1,440,174 : x
  2. Step 2: Convert to fraction form
    666,781/1,440,174 = 1,440,174/x
  3. Step 3: Cross multiply
    666,781x = 1,440,174 × 1,440,174
  4. Step 4: Simplify right side
    666,781x = 2,074,101,150,276
  5. Step 5: Solve for x
    x = 2,074,101,150,276/666,781
  6. Step 6: Final answer
    x = 3,110,618.25

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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.