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Finding the Third Proportional to 298,632 and 644,769.75

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Solution

The third proportional to 298,632 and 644,769.75 is: 1,392,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,632 : 644,769.75 = 644,769.75 : x
  2. Step 2: Convert to fraction form
    298,632/644,769.75 = 644,769.75/x
  3. Step 3: Cross multiply
    298,632x = 644,769.75 × 644,769.75
  4. Step 4: Simplify right side
    298,632x = 415,728,030,515.06
  5. Step 5: Solve for x
    x = 415,728,030,515.06/298,632
  6. Step 6: Final answer
    x = 1,392,108.11

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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.