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Finding the Third Proportional to 328,099 and 469,181

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Solution

The third proportional to 328,099 and 469,181 is: 670,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,099 : 469,181 = 469,181 : x
  2. Step 2: Convert to fraction form
    328,099/469,181 = 469,181/x
  3. Step 3: Cross multiply
    328,099x = 469,181 × 469,181
  4. Step 4: Simplify right side
    328,099x = 220,130,810,761
  5. Step 5: Solve for x
    x = 220,130,810,761/328,099
  6. Step 6: Final answer
    x = 670,928.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.