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Finding the Third Proportional to 199,830 and 301,065

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Solution

The third proportional to 199,830 and 301,065 is: 453,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,830 : 301,065 = 301,065 : x
  2. Step 2: Convert to fraction form
    199,830/301,065 = 301,065/x
  3. Step 3: Cross multiply
    199,830x = 301,065 × 301,065
  4. Step 4: Simplify right side
    199,830x = 90,640,134,225
  5. Step 5: Solve for x
    x = 90,640,134,225/199,830
  6. Step 6: Final answer
    x = 453,586.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.