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Finding the Third Proportional to 298,678.50 and 644,902.50

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Solution

The third proportional to 298,678.50 and 644,902.50 is: 1,392,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,678.50 : 644,902.50 = 644,902.50 : x
  2. Step 2: Convert to fraction form
    298,678.50/644,902.50 = 644,902.50/x
  3. Step 3: Cross multiply
    298,678.50x = 644,902.50 × 644,902.50
  4. Step 4: Simplify right side
    298,678.50x = 415,899,234,506.25
  5. Step 5: Solve for x
    x = 415,899,234,506.25/298,678.50
  6. Step 6: Final answer
    x = 1,392,464.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.