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Finding the Third Proportional to 72,856 and 160,164

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Solution

The third proportional to 72,856 and 160,164 is: 352,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,856 : 160,164 = 160,164 : x
  2. Step 2: Convert to fraction form
    72,856/160,164 = 160,164/x
  3. Step 3: Cross multiply
    72,856x = 160,164 × 160,164
  4. Step 4: Simplify right side
    72,856x = 25,652,506,896
  5. Step 5: Solve for x
    x = 25,652,506,896/72,856
  6. Step 6: Final answer
    x = 352,098.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.