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Finding the Third Proportional to 299,428 and 640,344

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Solution

The third proportional to 299,428 and 640,344 is: 1,369,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,428 : 640,344 = 640,344 : x
  2. Step 2: Convert to fraction form
    299,428/640,344 = 640,344/x
  3. Step 3: Cross multiply
    299,428x = 640,344 × 640,344
  4. Step 4: Simplify right side
    299,428x = 410,040,438,336
  5. Step 5: Solve for x
    x = 410,040,438,336/299,428
  6. Step 6: Final answer
    x = 1,369,412.47

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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.