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Finding the Third Proportional to 75,698 and 156,258

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Solution

The third proportional to 75,698 and 156,258 is: 322,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,698 : 156,258 = 156,258 : x
  2. Step 2: Convert to fraction form
    75,698/156,258 = 156,258/x
  3. Step 3: Cross multiply
    75,698x = 156,258 × 156,258
  4. Step 4: Simplify right side
    75,698x = 24,416,562,564
  5. Step 5: Solve for x
    x = 24,416,562,564/75,698
  6. Step 6: Final answer
    x = 322,552.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.