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Finding the Third Proportional to 70,575 and 154,974

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Solution

The third proportional to 70,575 and 154,974 is: 340,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,575 : 154,974 = 154,974 : x
  2. Step 2: Convert to fraction form
    70,575/154,974 = 154,974/x
  3. Step 3: Cross multiply
    70,575x = 154,974 × 154,974
  4. Step 4: Simplify right side
    70,575x = 24,016,940,676
  5. Step 5: Solve for x
    x = 24,016,940,676/70,575
  6. Step 6: Final answer
    x = 340,303.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.