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Finding the Third Proportional to 255,928 and 560,240

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Solution

The third proportional to 255,928 and 560,240 is: 1,226,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,928 : 560,240 = 560,240 : x
  2. Step 2: Convert to fraction form
    255,928/560,240 = 560,240/x
  3. Step 3: Cross multiply
    255,928x = 560,240 × 560,240
  4. Step 4: Simplify right side
    255,928x = 313,868,857,600
  5. Step 5: Solve for x
    x = 313,868,857,600/255,928
  6. Step 6: Final answer
    x = 1,226,395.15

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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.