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Finding the Third Proportional to 255,440 and 559,200

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Solution

The third proportional to 255,440 and 559,200 is: 1,224,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,440 : 559,200 = 559,200 : x
  2. Step 2: Convert to fraction form
    255,440/559,200 = 559,200/x
  3. Step 3: Cross multiply
    255,440x = 559,200 × 559,200
  4. Step 4: Simplify right side
    255,440x = 312,704,640,000
  5. Step 5: Solve for x
    x = 312,704,640,000/255,440
  6. Step 6: Final answer
    x = 1,224,180.39

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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.