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Finding the Third Proportional to 189,418.50 and 282,457.13

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Solution

The third proportional to 189,418.50 and 282,457.13 is: 421,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418.50 : 282,457.13 = 282,457.13 : x
  2. Step 2: Convert to fraction form
    189,418.50/282,457.13 = 282,457.13/x
  3. Step 3: Cross multiply
    189,418.50x = 282,457.13 × 282,457.13
  4. Step 4: Simplify right side
    189,418.50x = 79,782,027,463.27
  5. Step 5: Solve for x
    x = 79,782,027,463.27/189,418.50
  6. Step 6: Final answer
    x = 421,194.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.