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Finding the Third Proportional to 298,253 and 451,724

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Solution

The third proportional to 298,253 and 451,724 is: 684,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,253 : 451,724 = 451,724 : x
  2. Step 2: Convert to fraction form
    298,253/451,724 = 451,724/x
  3. Step 3: Cross multiply
    298,253x = 451,724 × 451,724
  4. Step 4: Simplify right side
    298,253x = 204,054,572,176
  5. Step 5: Solve for x
    x = 204,054,572,176/298,253
  6. Step 6: Final answer
    x = 684,166.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.