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Finding the Third Proportional to 313,556 and 689,539

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Solution

The third proportional to 313,556 and 689,539 is: 1,516,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,556 : 689,539 = 689,539 : x
  2. Step 2: Convert to fraction form
    313,556/689,539 = 689,539/x
  3. Step 3: Cross multiply
    313,556x = 689,539 × 689,539
  4. Step 4: Simplify right side
    313,556x = 475,464,032,521
  5. Step 5: Solve for x
    x = 475,464,032,521/313,556
  6. Step 6: Final answer
    x = 1,516,360.82

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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.