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Finding the Third Proportional to 265,840 and 379,176

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Solution

The third proportional to 265,840 and 379,176 is: 540,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,840 : 379,176 = 379,176 : x
  2. Step 2: Convert to fraction form
    265,840/379,176 = 379,176/x
  3. Step 3: Cross multiply
    265,840x = 379,176 × 379,176
  4. Step 4: Simplify right side
    265,840x = 143,774,438,976
  5. Step 5: Solve for x
    x = 143,774,438,976/265,840
  6. Step 6: Final answer
    x = 540,830.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.