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Finding the Third Proportional to 255,415 and 541,964

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Solution

The third proportional to 255,415 and 541,964 is: 1,149,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,415 : 541,964 = 541,964 : x
  2. Step 2: Convert to fraction form
    255,415/541,964 = 541,964/x
  3. Step 3: Cross multiply
    255,415x = 541,964 × 541,964
  4. Step 4: Simplify right side
    255,415x = 293,724,977,296
  5. Step 5: Solve for x
    x = 293,724,977,296/255,415
  6. Step 6: Final answer
    x = 1,149,991.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.