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Finding the Third Proportional to 313,564 and 689,556

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Solution

The third proportional to 313,564 and 689,556 is: 1,516,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,564 : 689,556 = 689,556 : x
  2. Step 2: Convert to fraction form
    313,564/689,556 = 689,556/x
  3. Step 3: Cross multiply
    313,564x = 689,556 × 689,556
  4. Step 4: Simplify right side
    313,564x = 475,487,477,136
  5. Step 5: Solve for x
    x = 475,487,477,136/313,564
  6. Step 6: Final answer
    x = 1,516,396.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.