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Finding the Third Proportional to 260,178 and 380,323

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Solution

The third proportional to 260,178 and 380,323 is: 555,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,178 : 380,323 = 380,323 : x
  2. Step 2: Convert to fraction form
    260,178/380,323 = 380,323/x
  3. Step 3: Cross multiply
    260,178x = 380,323 × 380,323
  4. Step 4: Simplify right side
    260,178x = 144,645,584,329
  5. Step 5: Solve for x
    x = 144,645,584,329/260,178
  6. Step 6: Final answer
    x = 555,948.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.