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Finding the Third Proportional to 190,903 and 431,309.50

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Solution

The third proportional to 190,903 and 431,309.50 is: 974,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,903 : 431,309.50 = 431,309.50 : x
  2. Step 2: Convert to fraction form
    190,903/431,309.50 = 431,309.50/x
  3. Step 3: Cross multiply
    190,903x = 431,309.50 × 431,309.50
  4. Step 4: Simplify right side
    190,903x = 186,027,884,790.25
  5. Step 5: Solve for x
    x = 186,027,884,790.25/190,903
  6. Step 6: Final answer
    x = 974,462.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.