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Finding the Third Proportional to 89,518 and 197,664

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Solution

The third proportional to 89,518 and 197,664 is: 436,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,518 : 197,664 = 197,664 : x
  2. Step 2: Convert to fraction form
    89,518/197,664 = 197,664/x
  3. Step 3: Cross multiply
    89,518x = 197,664 × 197,664
  4. Step 4: Simplify right side
    89,518x = 39,071,056,896
  5. Step 5: Solve for x
    x = 39,071,056,896/89,518
  6. Step 6: Final answer
    x = 436,460.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.