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Finding the Third Proportional to 276,619.50 and 413,157

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Solution

The third proportional to 276,619.50 and 413,157 is: 617,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,619.50 : 413,157 = 413,157 : x
  2. Step 2: Convert to fraction form
    276,619.50/413,157 = 413,157/x
  3. Step 3: Cross multiply
    276,619.50x = 413,157 × 413,157
  4. Step 4: Simplify right side
    276,619.50x = 170,698,706,649
  5. Step 5: Solve for x
    x = 170,698,706,649/276,619.50
  6. Step 6: Final answer
    x = 617,088.48

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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.