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Finding the Third Proportional to 78,416 and 160,288

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Solution

The third proportional to 78,416 and 160,288 is: 327,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416 : 160,288 = 160,288 : x
  2. Step 2: Convert to fraction form
    78,416/160,288 = 160,288/x
  3. Step 3: Cross multiply
    78,416x = 160,288 × 160,288
  4. Step 4: Simplify right side
    78,416x = 25,692,242,944
  5. Step 5: Solve for x
    x = 25,692,242,944/78,416
  6. Step 6: Final answer
    x = 327,640.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.