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Finding the Third Proportional to 190,030 and 403,379

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Solution

The third proportional to 190,030 and 403,379 is: 856,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,030 : 403,379 = 403,379 : x
  2. Step 2: Convert to fraction form
    190,030/403,379 = 403,379/x
  3. Step 3: Cross multiply
    190,030x = 403,379 × 403,379
  4. Step 4: Simplify right side
    190,030x = 162,714,617,641
  5. Step 5: Solve for x
    x = 162,714,617,641/190,030
  6. Step 6: Final answer
    x = 856,257.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.