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Finding the Third Proportional to 315,286 and 700,556

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Solution

The third proportional to 315,286 and 700,556 is: 1,556,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,286 : 700,556 = 700,556 : x
  2. Step 2: Convert to fraction form
    315,286/700,556 = 700,556/x
  3. Step 3: Cross multiply
    315,286x = 700,556 × 700,556
  4. Step 4: Simplify right side
    315,286x = 490,778,709,136
  5. Step 5: Solve for x
    x = 490,778,709,136/315,286
  6. Step 6: Final answer
    x = 1,556,614.34

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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.