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Finding the Third Proportional to 190,120 and 408,316

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Solution

The third proportional to 190,120 and 408,316 is: 876,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,120 : 408,316 = 408,316 : x
  2. Step 2: Convert to fraction form
    190,120/408,316 = 408,316/x
  3. Step 3: Cross multiply
    190,120x = 408,316 × 408,316
  4. Step 4: Simplify right side
    190,120x = 166,721,955,856
  5. Step 5: Solve for x
    x = 166,721,955,856/190,120
  6. Step 6: Final answer
    x = 876,930.13

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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.