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Finding the Third Proportional to 780,219 and 1,703,322

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Solution

The third proportional to 780,219 and 1,703,322 is: 3,718,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,219 : 1,703,322 = 1,703,322 : x
  2. Step 2: Convert to fraction form
    780,219/1,703,322 = 1,703,322/x
  3. Step 3: Cross multiply
    780,219x = 1,703,322 × 1,703,322
  4. Step 4: Simplify right side
    780,219x = 2,901,305,835,684
  5. Step 5: Solve for x
    x = 2,901,305,835,684/780,219
  6. Step 6: Final answer
    x = 3,718,578.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.