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Finding the Third Proportional to 189,486.84 and 284,999.13

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Solution

The third proportional to 189,486.84 and 284,999.13 is: 428,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,486.84 : 284,999.13 = 284,999.13 : x
  2. Step 2: Convert to fraction form
    189,486.84/284,999.13 = 284,999.13/x
  3. Step 3: Cross multiply
    189,486.84x = 284,999.13 × 284,999.13
  4. Step 4: Simplify right side
    189,486.84x = 81,224,505,703.88
  5. Step 5: Solve for x
    x = 81,224,505,703.88/189,486.84
  6. Step 6: Final answer
    x = 428,655.12

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Why These Related Problems?

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