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Finding the Third Proportional to 190,254 and 407,490

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Solution

The third proportional to 190,254 and 407,490 is: 872,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,254 : 407,490 = 407,490 : x
  2. Step 2: Convert to fraction form
    190,254/407,490 = 407,490/x
  3. Step 3: Cross multiply
    190,254x = 407,490 × 407,490
  4. Step 4: Simplify right side
    190,254x = 166,048,100,100
  5. Step 5: Solve for x
    x = 166,048,100,100/190,254
  6. Step 6: Final answer
    x = 872,770.61

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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.