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Finding the Third Proportional to 70,818 and 154,515

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Solution

The third proportional to 70,818 and 154,515 is: 337,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,818 : 154,515 = 154,515 : x
  2. Step 2: Convert to fraction form
    70,818/154,515 = 154,515/x
  3. Step 3: Cross multiply
    70,818x = 154,515 × 154,515
  4. Step 4: Simplify right side
    70,818x = 23,874,885,225
  5. Step 5: Solve for x
    x = 23,874,885,225/70,818
  6. Step 6: Final answer
    x = 337,130.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.