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Finding the Third Proportional to 162,778 and 338,031

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Solution

The third proportional to 162,778 and 338,031 is: 701,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,778 : 338,031 = 338,031 : x
  2. Step 2: Convert to fraction form
    162,778/338,031 = 338,031/x
  3. Step 3: Cross multiply
    162,778x = 338,031 × 338,031
  4. Step 4: Simplify right side
    162,778x = 114,264,956,961
  5. Step 5: Solve for x
    x = 114,264,956,961/162,778
  6. Step 6: Final answer
    x = 701,968.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.