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Finding the Third Proportional to 210,999.94 and 324,678.38

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Solution

The third proportional to 210,999.94 and 324,678.38 is: 499,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,999.94 : 324,678.38 = 324,678.38 : x
  2. Step 2: Convert to fraction form
    210,999.94/324,678.38 = 324,678.38/x
  3. Step 3: Cross multiply
    210,999.94x = 324,678.38 × 324,678.38
  4. Step 4: Simplify right side
    210,999.94x = 105,416,047,192.64
  5. Step 5: Solve for x
    x = 105,416,047,192.64/210,999.94
  6. Step 6: Final answer
    x = 499,602.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.