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Finding the Third Proportional to 440,651,568 and 666,644,720

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Solution

The third proportional to 440,651,568 and 666,644,720 is: 1,008,541,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,651,568 : 666,644,720 = 666,644,720 : x
  2. Step 2: Convert to fraction form
    440,651,568/666,644,720 = 666,644,720/x
  3. Step 3: Cross multiply
    440,651,568x = 666,644,720 × 666,644,720
  4. Step 4: Simplify right side
    440,651,568x = 444,415,182,703,878,400
  5. Step 5: Solve for x
    x = 444,415,182,703,878,400/440,651,568
  6. Step 6: Final answer
    x = 1,008,541,021.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.