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Finding the Third Proportional to 190,657 and 407,485

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Solution

The third proportional to 190,657 and 407,485 is: 870,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,657 : 407,485 = 407,485 : x
  2. Step 2: Convert to fraction form
    190,657/407,485 = 407,485/x
  3. Step 3: Cross multiply
    190,657x = 407,485 × 407,485
  4. Step 4: Simplify right side
    190,657x = 166,044,025,225
  5. Step 5: Solve for x
    x = 166,044,025,225/190,657
  6. Step 6: Final answer
    x = 870,904.43

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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.