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Finding the Third Proportional to 90,270 and 198,044

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Solution

The third proportional to 90,270 and 198,044 is: 434,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,270 : 198,044 = 198,044 : x
  2. Step 2: Convert to fraction form
    90,270/198,044 = 198,044/x
  3. Step 3: Cross multiply
    90,270x = 198,044 × 198,044
  4. Step 4: Simplify right side
    90,270x = 39,221,425,936
  5. Step 5: Solve for x
    x = 39,221,425,936/90,270
  6. Step 6: Final answer
    x = 434,490.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.