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Finding the Third Proportional to 140,738 and 210,405

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Solution

The third proportional to 140,738 and 210,405 is: 314,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,738 : 210,405 = 210,405 : x
  2. Step 2: Convert to fraction form
    140,738/210,405 = 210,405/x
  3. Step 3: Cross multiply
    140,738x = 210,405 × 210,405
  4. Step 4: Simplify right side
    140,738x = 44,270,264,025
  5. Step 5: Solve for x
    x = 44,270,264,025/140,738
  6. Step 6: Final answer
    x = 314,558.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.