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Finding the Third Proportional to 299,260 and 640,556

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Solution

The third proportional to 299,260 and 640,556 is: 1,371,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,260 : 640,556 = 640,556 : x
  2. Step 2: Convert to fraction form
    299,260/640,556 = 640,556/x
  3. Step 3: Cross multiply
    299,260x = 640,556 × 640,556
  4. Step 4: Simplify right side
    299,260x = 410,311,989,136
  5. Step 5: Solve for x
    x = 410,311,989,136/299,260
  6. Step 6: Final answer
    x = 1,371,088.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.