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Finding the Third Proportional to 255,980 and 360,318

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Solution

The third proportional to 255,980 and 360,318 is: 507,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,980 : 360,318 = 360,318 : x
  2. Step 2: Convert to fraction form
    255,980/360,318 = 360,318/x
  3. Step 3: Cross multiply
    255,980x = 360,318 × 360,318
  4. Step 4: Simplify right side
    255,980x = 129,829,061,124
  5. Step 5: Solve for x
    x = 129,829,061,124/255,980
  6. Step 6: Final answer
    x = 507,184.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.