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Finding the Third Proportional to 70,048 and 152,006

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Solution

The third proportional to 70,048 and 152,006 is: 329,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,048 : 152,006 = 152,006 : x
  2. Step 2: Convert to fraction form
    70,048/152,006 = 152,006/x
  3. Step 3: Cross multiply
    70,048x = 152,006 × 152,006
  4. Step 4: Simplify right side
    70,048x = 23,105,824,036
  5. Step 5: Solve for x
    x = 23,105,824,036/70,048
  6. Step 6: Final answer
    x = 329,857.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.