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Finding the Third Proportional to 299,091 and 656,303

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Solution

The third proportional to 299,091 and 656,303 is: 1,440,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,091 : 656,303 = 656,303 : x
  2. Step 2: Convert to fraction form
    299,091/656,303 = 656,303/x
  3. Step 3: Cross multiply
    299,091x = 656,303 × 656,303
  4. Step 4: Simplify right side
    299,091x = 430,733,627,809
  5. Step 5: Solve for x
    x = 430,733,627,809/299,091
  6. Step 6: Final answer
    x = 1,440,142.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.