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Finding the Third Proportional to 189,747.75 and 407,636.25

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Solution

The third proportional to 189,747.75 and 407,636.25 is: 875,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,747.75 : 407,636.25 = 407,636.25 : x
  2. Step 2: Convert to fraction form
    189,747.75/407,636.25 = 407,636.25/x
  3. Step 3: Cross multiply
    189,747.75x = 407,636.25 × 407,636.25
  4. Step 4: Simplify right side
    189,747.75x = 166,167,312,314.06
  5. Step 5: Solve for x
    x = 166,167,312,314.06/189,747.75
  6. Step 6: Final answer
    x = 875,727.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.