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Finding the Third Proportional to 70,200 and 152,307

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Solution

The third proportional to 70,200 and 152,307 is: 330,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200 : 152,307 = 152,307 : x
  2. Step 2: Convert to fraction form
    70,200/152,307 = 152,307/x
  3. Step 3: Cross multiply
    70,200x = 152,307 × 152,307
  4. Step 4: Simplify right side
    70,200x = 23,197,422,249
  5. Step 5: Solve for x
    x = 23,197,422,249/70,200
  6. Step 6: Final answer
    x = 330,447.61

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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.