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Finding the Third Proportional to 199,406 and 306,499

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Solution

The third proportional to 199,406 and 306,499 is: 471,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406 : 306,499 = 306,499 : x
  2. Step 2: Convert to fraction form
    199,406/306,499 = 306,499/x
  3. Step 3: Cross multiply
    199,406x = 306,499 × 306,499
  4. Step 4: Simplify right side
    199,406x = 93,941,637,001
  5. Step 5: Solve for x
    x = 93,941,637,001/199,406
  6. Step 6: Final answer
    x = 471,107.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.