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Finding the Third Proportional to 299,091 and 645,144

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Solution

The third proportional to 299,091 and 645,144 is: 1,391,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,091 : 645,144 = 645,144 : x
  2. Step 2: Convert to fraction form
    299,091/645,144 = 645,144/x
  3. Step 3: Cross multiply
    299,091x = 645,144 × 645,144
  4. Step 4: Simplify right side
    299,091x = 416,210,780,736
  5. Step 5: Solve for x
    x = 416,210,780,736/299,091
  6. Step 6: Final answer
    x = 1,391,585.77

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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.