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Finding the Third Proportional to 299,382 and 645,420

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Solution

The third proportional to 299,382 and 645,420 is: 1,391,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382 : 645,420 = 645,420 : x
  2. Step 2: Convert to fraction form
    299,382/645,420 = 645,420/x
  3. Step 3: Cross multiply
    299,382x = 645,420 × 645,420
  4. Step 4: Simplify right side
    299,382x = 416,566,976,400
  5. Step 5: Solve for x
    x = 416,566,976,400/299,382
  6. Step 6: Final answer
    x = 1,391,422.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.