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Finding the Third Proportional to 197,428 and 313,638

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Solution

The third proportional to 197,428 and 313,638 is: 498,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,428 : 313,638 = 313,638 : x
  2. Step 2: Convert to fraction form
    197,428/313,638 = 313,638/x
  3. Step 3: Cross multiply
    197,428x = 313,638 × 313,638
  4. Step 4: Simplify right side
    197,428x = 98,368,795,044
  5. Step 5: Solve for x
    x = 98,368,795,044/197,428
  6. Step 6: Final answer
    x = 498,251.49

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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.