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Finding the Third Proportional to 152,122 and 355,425

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Solution

The third proportional to 152,122 and 355,425 is: 830,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,122 : 355,425 = 355,425 : x
  2. Step 2: Convert to fraction form
    152,122/355,425 = 355,425/x
  3. Step 3: Cross multiply
    152,122x = 355,425 × 355,425
  4. Step 4: Simplify right side
    152,122x = 126,326,930,625
  5. Step 5: Solve for x
    x = 126,326,930,625/152,122
  6. Step 6: Final answer
    x = 830,431.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.