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Finding the Third Proportional to 197,428 and 297,918

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Solution

The third proportional to 197,428 and 297,918 is: 449,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,428 : 297,918 = 297,918 : x
  2. Step 2: Convert to fraction form
    197,428/297,918 = 297,918/x
  3. Step 3: Cross multiply
    197,428x = 297,918 × 297,918
  4. Step 4: Simplify right side
    197,428x = 88,755,134,724
  5. Step 5: Solve for x
    x = 88,755,134,724/197,428
  6. Step 6: Final answer
    x = 449,556.98

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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.