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Finding the Third Proportional to 379,088 and 810,664

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Solution

The third proportional to 379,088 and 810,664 is: 1,733,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,088 : 810,664 = 810,664 : x
  2. Step 2: Convert to fraction form
    379,088/810,664 = 810,664/x
  3. Step 3: Cross multiply
    379,088x = 810,664 × 810,664
  4. Step 4: Simplify right side
    379,088x = 657,176,120,896
  5. Step 5: Solve for x
    x = 657,176,120,896/379,088
  6. Step 6: Final answer
    x = 1,733,571.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.