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Finding the Third Proportional to 276,972.75 and 414,985.50

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Solution

The third proportional to 276,972.75 and 414,985.50 is: 621,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,972.75 : 414,985.50 = 414,985.50 : x
  2. Step 2: Convert to fraction form
    276,972.75/414,985.50 = 414,985.50/x
  3. Step 3: Cross multiply
    276,972.75x = 414,985.50 × 414,985.50
  4. Step 4: Simplify right side
    276,972.75x = 172,212,965,210.25
  5. Step 5: Solve for x
    x = 172,212,965,210.25/276,972.75
  6. Step 6: Final answer
    x = 621,768.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.