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Finding the Third Proportional to 255,219 and 380,340

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Solution

The third proportional to 255,219 and 380,340 is: 566,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,219 : 380,340 = 380,340 : x
  2. Step 2: Convert to fraction form
    255,219/380,340 = 380,340/x
  3. Step 3: Cross multiply
    255,219x = 380,340 × 380,340
  4. Step 4: Simplify right side
    255,219x = 144,658,515,600
  5. Step 5: Solve for x
    x = 144,658,515,600/255,219
  6. Step 6: Final answer
    x = 566,801.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.