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Finding the Third Proportional to 190,980 and 415,944

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Solution

The third proportional to 190,980 and 415,944 is: 905,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,980 : 415,944 = 415,944 : x
  2. Step 2: Convert to fraction form
    190,980/415,944 = 415,944/x
  3. Step 3: Cross multiply
    190,980x = 415,944 × 415,944
  4. Step 4: Simplify right side
    190,980x = 173,009,411,136
  5. Step 5: Solve for x
    x = 173,009,411,136/190,980
  6. Step 6: Final answer
    x = 905,903.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.