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Finding the Third Proportional to 289,142 and 451,200

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Solution

The third proportional to 289,142 and 451,200 is: 704,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,142 : 451,200 = 451,200 : x
  2. Step 2: Convert to fraction form
    289,142/451,200 = 451,200/x
  3. Step 3: Cross multiply
    289,142x = 451,200 × 451,200
  4. Step 4: Simplify right side
    289,142x = 203,581,440,000
  5. Step 5: Solve for x
    x = 203,581,440,000/289,142
  6. Step 6: Final answer
    x = 704,088.10

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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.