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Finding the Third Proportional to 197,790 and 314,471

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Solution

The third proportional to 197,790 and 314,471 is: 499,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,790 : 314,471 = 314,471 : x
  2. Step 2: Convert to fraction form
    197,790/314,471 = 314,471/x
  3. Step 3: Cross multiply
    197,790x = 314,471 × 314,471
  4. Step 4: Simplify right side
    197,790x = 98,892,009,841
  5. Step 5: Solve for x
    x = 98,892,009,841/197,790
  6. Step 6: Final answer
    x = 499,984.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.