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Finding the Third Proportional to 289,140 and 451,197

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Solution

The third proportional to 289,140 and 451,197 is: 704,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,140 : 451,197 = 451,197 : x
  2. Step 2: Convert to fraction form
    289,140/451,197 = 451,197/x
  3. Step 3: Cross multiply
    289,140x = 451,197 × 451,197
  4. Step 4: Simplify right side
    289,140x = 203,578,732,809
  5. Step 5: Solve for x
    x = 203,578,732,809/289,140
  6. Step 6: Final answer
    x = 704,083.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.