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Finding the Third Proportional to 70,515 and 146,862

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Solution

The third proportional to 70,515 and 146,862 is: 305,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,515 : 146,862 = 146,862 : x
  2. Step 2: Convert to fraction form
    70,515/146,862 = 146,862/x
  3. Step 3: Cross multiply
    70,515x = 146,862 × 146,862
  4. Step 4: Simplify right side
    70,515x = 21,568,447,044
  5. Step 5: Solve for x
    x = 21,568,447,044/70,515
  6. Step 6: Final answer
    x = 305,870.34

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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.