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Finding the Third Proportional to 472,790 and 717,929

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Solution

The third proportional to 472,790 and 717,929 is: 1,090,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,790 : 717,929 = 717,929 : x
  2. Step 2: Convert to fraction form
    472,790/717,929 = 717,929/x
  3. Step 3: Cross multiply
    472,790x = 717,929 × 717,929
  4. Step 4: Simplify right side
    472,790x = 515,422,049,041
  5. Step 5: Solve for x
    x = 515,422,049,041/472,790
  6. Step 6: Final answer
    x = 1,090,171.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.