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Finding the Third Proportional to 283,803 and 439,474.50

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Solution

The third proportional to 283,803 and 439,474.50 is: 680,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,803 : 439,474.50 = 439,474.50 : x
  2. Step 2: Convert to fraction form
    283,803/439,474.50 = 439,474.50/x
  3. Step 3: Cross multiply
    283,803x = 439,474.50 × 439,474.50
  4. Step 4: Simplify right side
    283,803x = 193,137,836,150.25
  5. Step 5: Solve for x
    x = 193,137,836,150.25/283,803
  6. Step 6: Final answer
    x = 680,534.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.