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Finding the Third Proportional to 189,484 and 405,225

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Solution

The third proportional to 189,484 and 405,225 is: 866,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,484 : 405,225 = 405,225 : x
  2. Step 2: Convert to fraction form
    189,484/405,225 = 405,225/x
  3. Step 3: Cross multiply
    189,484x = 405,225 × 405,225
  4. Step 4: Simplify right side
    189,484x = 164,207,300,625
  5. Step 5: Solve for x
    x = 164,207,300,625/189,484
  6. Step 6: Final answer
    x = 866,602.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.