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Finding the Third Proportional to 680,373 and 1,490,022

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Solution

The third proportional to 680,373 and 1,490,022 is: 3,263,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,373 : 1,490,022 = 1,490,022 : x
  2. Step 2: Convert to fraction form
    680,373/1,490,022 = 1,490,022/x
  3. Step 3: Cross multiply
    680,373x = 1,490,022 × 1,490,022
  4. Step 4: Simplify right side
    680,373x = 2,220,165,560,484
  5. Step 5: Solve for x
    x = 2,220,165,560,484/680,373
  6. Step 6: Final answer
    x = 3,263,159.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.