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Finding the Third Proportional to 381,211 and 560,728.50

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Solution

The third proportional to 381,211 and 560,728.50 is: 824,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,211 : 560,728.50 = 560,728.50 : x
  2. Step 2: Convert to fraction form
    381,211/560,728.50 = 560,728.50/x
  3. Step 3: Cross multiply
    381,211x = 560,728.50 × 560,728.50
  4. Step 4: Simplify right side
    381,211x = 314,416,450,712.25
  5. Step 5: Solve for x
    x = 314,416,450,712.25/381,211
  6. Step 6: Final answer
    x = 824,783.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.