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Finding the Third Proportional to 255,916 and 550,712

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Solution

The third proportional to 255,916 and 550,712 is: 1,185,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,916 : 550,712 = 550,712 : x
  2. Step 2: Convert to fraction form
    255,916/550,712 = 550,712/x
  3. Step 3: Cross multiply
    255,916x = 550,712 × 550,712
  4. Step 4: Simplify right side
    255,916x = 303,283,706,944
  5. Step 5: Solve for x
    x = 303,283,706,944/255,916
  6. Step 6: Final answer
    x = 1,185,090.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.