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Finding the Third Proportional to 276,775.73 and 413,722.69

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Solution

The third proportional to 276,775.73 and 413,722.69 is: 618,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,775.73 : 413,722.69 = 413,722.69 : x
  2. Step 2: Convert to fraction form
    276,775.73/413,722.69 = 413,722.69/x
  3. Step 3: Cross multiply
    276,775.73x = 413,722.69 × 413,722.69
  4. Step 4: Simplify right side
    276,775.73x = 171,166,462,152.22
  5. Step 5: Solve for x
    x = 171,166,462,152.22/276,775.73
  6. Step 6: Final answer
    x = 618,430.16

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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.