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Finding the Third Proportional to 255,319 and 383,140

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Solution

The third proportional to 255,319 and 383,140 is: 574,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,319 : 383,140 = 383,140 : x
  2. Step 2: Convert to fraction form
    255,319/383,140 = 383,140/x
  3. Step 3: Cross multiply
    255,319x = 383,140 × 383,140
  4. Step 4: Simplify right side
    255,319x = 146,796,259,600
  5. Step 5: Solve for x
    x = 146,796,259,600/255,319
  6. Step 6: Final answer
    x = 574,952.35

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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.