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Finding the Third Proportional to 283,000.50 and 420,653.25

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Solution

The third proportional to 283,000.50 and 420,653.25 is: 625,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,000.50 : 420,653.25 = 420,653.25 : x
  2. Step 2: Convert to fraction form
    283,000.50/420,653.25 = 420,653.25/x
  3. Step 3: Cross multiply
    283,000.50x = 420,653.25 × 420,653.25
  4. Step 4: Simplify right side
    283,000.50x = 176,949,156,735.56
  5. Step 5: Solve for x
    x = 176,949,156,735.56/283,000.50
  6. Step 6: Final answer
    x = 625,260.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.