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Finding the Third Proportional to 311,420 and 680,998

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Solution

The third proportional to 311,420 and 680,998 is: 1,489,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,420 : 680,998 = 680,998 : x
  2. Step 2: Convert to fraction form
    311,420/680,998 = 680,998/x
  3. Step 3: Cross multiply
    311,420x = 680,998 × 680,998
  4. Step 4: Simplify right side
    311,420x = 463,758,276,004
  5. Step 5: Solve for x
    x = 463,758,276,004/311,420
  6. Step 6: Final answer
    x = 1,489,173.07

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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.