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Finding the Third Proportional to 199,397 and 306,489

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Solution

The third proportional to 199,397 and 306,489 is: 471,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,397 : 306,489 = 306,489 : x
  2. Step 2: Convert to fraction form
    199,397/306,489 = 306,489/x
  3. Step 3: Cross multiply
    199,397x = 306,489 × 306,489
  4. Step 4: Simplify right side
    199,397x = 93,935,507,121
  5. Step 5: Solve for x
    x = 93,935,507,121/199,397
  6. Step 6: Final answer
    x = 471,097.90

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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.