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Finding the Third Proportional to 190,142 and 413,129

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Solution

The third proportional to 190,142 and 413,129 is: 897,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,142 : 413,129 = 413,129 : x
  2. Step 2: Convert to fraction form
    190,142/413,129 = 413,129/x
  3. Step 3: Cross multiply
    190,142x = 413,129 × 413,129
  4. Step 4: Simplify right side
    190,142x = 170,675,570,641
  5. Step 5: Solve for x
    x = 170,675,570,641/190,142
  6. Step 6: Final answer
    x = 897,621.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.