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Finding the Third Proportional to 255,913.50 and 528,219

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Solution

The third proportional to 255,913.50 and 528,219 is: 1,090,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,913.50 : 528,219 = 528,219 : x
  2. Step 2: Convert to fraction form
    255,913.50/528,219 = 528,219/x
  3. Step 3: Cross multiply
    255,913.50x = 528,219 × 528,219
  4. Step 4: Simplify right side
    255,913.50x = 279,015,311,961
  5. Step 5: Solve for x
    x = 279,015,311,961/255,913.50
  6. Step 6: Final answer
    x = 1,090,271.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.