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Finding the Third Proportional to 89,140 and 197,964

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Solution

The third proportional to 89,140 and 197,964 is: 439,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,140 : 197,964 = 197,964 : x
  2. Step 2: Convert to fraction form
    89,140/197,964 = 197,964/x
  3. Step 3: Cross multiply
    89,140x = 197,964 × 197,964
  4. Step 4: Simplify right side
    89,140x = 39,189,745,296
  5. Step 5: Solve for x
    x = 39,189,745,296/89,140
  6. Step 6: Final answer
    x = 439,642.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.