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Finding the Third Proportional to 379,146 and 576,911

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Solution

The third proportional to 379,146 and 576,911 is: 877,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,146 : 576,911 = 576,911 : x
  2. Step 2: Convert to fraction form
    379,146/576,911 = 576,911/x
  3. Step 3: Cross multiply
    379,146x = 576,911 × 576,911
  4. Step 4: Simplify right side
    379,146x = 332,826,301,921
  5. Step 5: Solve for x
    x = 332,826,301,921/379,146
  6. Step 6: Final answer
    x = 877,831.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.