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Finding the Third Proportional to 130,734 and 276,156

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Solution

The third proportional to 130,734 and 276,156 is: 583,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,734 : 276,156 = 276,156 : x
  2. Step 2: Convert to fraction form
    130,734/276,156 = 276,156/x
  3. Step 3: Cross multiply
    130,734x = 276,156 × 276,156
  4. Step 4: Simplify right side
    130,734x = 76,262,136,336
  5. Step 5: Solve for x
    x = 76,262,136,336/130,734
  6. Step 6: Final answer
    x = 583,338.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.