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Finding the Third Proportional to 276,916.50 and 414,914.25

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Solution

The third proportional to 276,916.50 and 414,914.25 is: 621,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,916.50 : 414,914.25 = 414,914.25 : x
  2. Step 2: Convert to fraction form
    276,916.50/414,914.25 = 414,914.25/x
  3. Step 3: Cross multiply
    276,916.50x = 414,914.25 × 414,914.25
  4. Step 4: Simplify right side
    276,916.50x = 172,153,834,853.06
  5. Step 5: Solve for x
    x = 172,153,834,853.06/276,916.50
  6. Step 6: Final answer
    x = 621,681.39

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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.