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Finding the Third Proportional to 189,430.31 and 405,126.56

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Solution

The third proportional to 189,430.31 and 405,126.56 is: 866,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,430.31 : 405,126.56 = 405,126.56 : x
  2. Step 2: Convert to fraction form
    189,430.31/405,126.56 = 405,126.56/x
  3. Step 3: Cross multiply
    189,430.31x = 405,126.56 × 405,126.56
  4. Step 4: Simplify right side
    189,430.31x = 164,127,531,643.07
  5. Step 5: Solve for x
    x = 164,127,531,643.07/189,430.31
  6. Step 6: Final answer
    x = 866,426.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.