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Finding the Third Proportional to 255,703 and 383,554.50

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Solution

The third proportional to 255,703 and 383,554.50 is: 575,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,703 : 383,554.50 = 383,554.50 : x
  2. Step 2: Convert to fraction form
    255,703/383,554.50 = 383,554.50/x
  3. Step 3: Cross multiply
    255,703x = 383,554.50 × 383,554.50
  4. Step 4: Simplify right side
    255,703x = 147,114,054,470.25
  5. Step 5: Solve for x
    x = 147,114,054,470.25/255,703
  6. Step 6: Final answer
    x = 575,331.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.