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Finding the Third Proportional to 161,811 and 354,726

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Solution

The third proportional to 161,811 and 354,726 is: 777,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,811 : 354,726 = 354,726 : x
  2. Step 2: Convert to fraction form
    161,811/354,726 = 354,726/x
  3. Step 3: Cross multiply
    161,811x = 354,726 × 354,726
  4. Step 4: Simplify right side
    161,811x = 125,830,535,076
  5. Step 5: Solve for x
    x = 125,830,535,076/161,811
  6. Step 6: Final answer
    x = 777,638.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.