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Finding the Third Proportional to 276,775.88 and 413,722.50

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Solution

The third proportional to 276,775.88 and 413,722.50 is: 618,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,775.88 : 413,722.50 = 413,722.50 : x
  2. Step 2: Convert to fraction form
    276,775.88/413,722.50 = 413,722.50/x
  3. Step 3: Cross multiply
    276,775.88x = 413,722.50 × 413,722.50
  4. Step 4: Simplify right side
    276,775.88x = 171,166,307,006.25
  5. Step 5: Solve for x
    x = 171,166,307,006.25/276,775.88
  6. Step 6: Final answer
    x = 618,429.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.