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Finding the Third Proportional to 299,183 and 640,402

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Solution

The third proportional to 299,183 and 640,402 is: 1,370,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,183 : 640,402 = 640,402 : x
  2. Step 2: Convert to fraction form
    299,183/640,402 = 640,402/x
  3. Step 3: Cross multiply
    299,183x = 640,402 × 640,402
  4. Step 4: Simplify right side
    299,183x = 410,114,721,604
  5. Step 5: Solve for x
    x = 410,114,721,604/299,183
  6. Step 6: Final answer
    x = 1,370,782.17

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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.