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Finding the Third Proportional to 255,929 and 560,242

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Solution

The third proportional to 255,929 and 560,242 is: 1,226,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,929 : 560,242 = 560,242 : x
  2. Step 2: Convert to fraction form
    255,929/560,242 = 560,242/x
  3. Step 3: Cross multiply
    255,929x = 560,242 × 560,242
  4. Step 4: Simplify right side
    255,929x = 313,871,098,564
  5. Step 5: Solve for x
    x = 313,871,098,564/255,929
  6. Step 6: Final answer
    x = 1,226,399.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.