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Finding the Third Proportional to 358,276.50 and 509,267.25

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Solution

The third proportional to 358,276.50 and 509,267.25 is: 723,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,276.50 : 509,267.25 = 509,267.25 : x
  2. Step 2: Convert to fraction form
    358,276.50/509,267.25 = 509,267.25/x
  3. Step 3: Cross multiply
    358,276.50x = 509,267.25 × 509,267.25
  4. Step 4: Simplify right side
    358,276.50x = 259,353,131,922.56
  5. Step 5: Solve for x
    x = 259,353,131,922.56/358,276.50
  6. Step 6: Final answer
    x = 723,890.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.