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Finding the Third Proportional to 315,369 and 700,722

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Solution

The third proportional to 315,369 and 700,722 is: 1,556,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,369 : 700,722 = 700,722 : x
  2. Step 2: Convert to fraction form
    315,369/700,722 = 700,722/x
  3. Step 3: Cross multiply
    315,369x = 700,722 × 700,722
  4. Step 4: Simplify right side
    315,369x = 491,011,321,284
  5. Step 5: Solve for x
    x = 491,011,321,284/315,369
  6. Step 6: Final answer
    x = 1,556,942.25

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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.