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Finding the Third Proportional to 161,778 and 346,974

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Solution

The third proportional to 161,778 and 346,974 is: 744,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,778 : 346,974 = 346,974 : x
  2. Step 2: Convert to fraction form
    161,778/346,974 = 346,974/x
  3. Step 3: Cross multiply
    161,778x = 346,974 × 346,974
  4. Step 4: Simplify right side
    161,778x = 120,390,956,676
  5. Step 5: Solve for x
    x = 120,390,956,676/161,778
  6. Step 6: Final answer
    x = 744,173.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.