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Finding the Third Proportional to 162,878 and 353,608

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Solution

The third proportional to 162,878 and 353,608 is: 767,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,878 : 353,608 = 353,608 : x
  2. Step 2: Convert to fraction form
    162,878/353,608 = 353,608/x
  3. Step 3: Cross multiply
    162,878x = 353,608 × 353,608
  4. Step 4: Simplify right side
    162,878x = 125,038,617,664
  5. Step 5: Solve for x
    x = 125,038,617,664/162,878
  6. Step 6: Final answer
    x = 767,682.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.