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Finding the Third Proportional to 190,507.50 and 407,259

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Solution

The third proportional to 190,507.50 and 407,259 is: 870,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,507.50 : 407,259 = 407,259 : x
  2. Step 2: Convert to fraction form
    190,507.50/407,259 = 407,259/x
  3. Step 3: Cross multiply
    190,507.50x = 407,259 × 407,259
  4. Step 4: Simplify right side
    190,507.50x = 165,859,893,081
  5. Step 5: Solve for x
    x = 165,859,893,081/190,507.50
  6. Step 6: Final answer
    x = 870,621.33

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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.