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Finding the Third Proportional to 299,546 and 645,748

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Solution

The third proportional to 299,546 and 645,748 is: 1,392,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,546 : 645,748 = 645,748 : x
  2. Step 2: Convert to fraction form
    299,546/645,748 = 645,748/x
  3. Step 3: Cross multiply
    299,546x = 645,748 × 645,748
  4. Step 4: Simplify right side
    299,546x = 416,990,479,504
  5. Step 5: Solve for x
    x = 416,990,479,504/299,546
  6. Step 6: Final answer
    x = 1,392,074.94

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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.