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Finding the Third Proportional to 255,912 and 528,216

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Solution

The third proportional to 255,912 and 528,216 is: 1,090,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,912 : 528,216 = 528,216 : x
  2. Step 2: Convert to fraction form
    255,912/528,216 = 528,216/x
  3. Step 3: Cross multiply
    255,912x = 528,216 × 528,216
  4. Step 4: Simplify right side
    255,912x = 279,012,142,656
  5. Step 5: Solve for x
    x = 279,012,142,656/255,912
  6. Step 6: Final answer
    x = 1,090,265.96

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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.