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Finding the Third Proportional to 190,146 and 407,286

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Solution

The third proportional to 190,146 and 407,286 is: 872,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,146 : 407,286 = 407,286 : x
  2. Step 2: Convert to fraction form
    190,146/407,286 = 407,286/x
  3. Step 3: Cross multiply
    190,146x = 407,286 × 407,286
  4. Step 4: Simplify right side
    190,146x = 165,881,885,796
  5. Step 5: Solve for x
    x = 165,881,885,796/190,146
  6. Step 6: Final answer
    x = 872,392.19

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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.