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Finding the Third Proportional to 276,213 and 426,523.50

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Solution

The third proportional to 276,213 and 426,523.50 is: 658,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,213 : 426,523.50 = 426,523.50 : x
  2. Step 2: Convert to fraction form
    276,213/426,523.50 = 426,523.50/x
  3. Step 3: Cross multiply
    276,213x = 426,523.50 × 426,523.50
  4. Step 4: Simplify right side
    276,213x = 181,922,296,052.25
  5. Step 5: Solve for x
    x = 181,922,296,052.25/276,213
  6. Step 6: Final answer
    x = 658,630.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.