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Finding the Third Proportional to 129,428 and 276,848

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Solution

The third proportional to 129,428 and 276,848 is: 592,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,428 : 276,848 = 276,848 : x
  2. Step 2: Convert to fraction form
    129,428/276,848 = 276,848/x
  3. Step 3: Cross multiply
    129,428x = 276,848 × 276,848
  4. Step 4: Simplify right side
    129,428x = 76,644,815,104
  5. Step 5: Solve for x
    x = 76,644,815,104/129,428
  6. Step 6: Final answer
    x = 592,181.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.