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Finding the Third Proportional to 76,346 and 154,848

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Solution

The third proportional to 76,346 and 154,848 is: 314,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346 : 154,848 = 154,848 : x
  2. Step 2: Convert to fraction form
    76,346/154,848 = 154,848/x
  3. Step 3: Cross multiply
    76,346x = 154,848 × 154,848
  4. Step 4: Simplify right side
    76,346x = 23,977,903,104
  5. Step 5: Solve for x
    x = 23,977,903,104/76,346
  6. Step 6: Final answer
    x = 314,068.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.