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Finding the Third Proportional to 315,219 and 700,422

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Solution

The third proportional to 315,219 and 700,422 is: 1,556,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,219 : 700,422 = 700,422 : x
  2. Step 2: Convert to fraction form
    315,219/700,422 = 700,422/x
  3. Step 3: Cross multiply
    315,219x = 700,422 × 700,422
  4. Step 4: Simplify right side
    315,219x = 490,590,978,084
  5. Step 5: Solve for x
    x = 490,590,978,084/315,219
  6. Step 6: Final answer
    x = 1,556,349.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.