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Finding the Third Proportional to 75,119 and 152,312

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Solution

The third proportional to 75,119 and 152,312 is: 308,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,119 : 152,312 = 152,312 : x
  2. Step 2: Convert to fraction form
    75,119/152,312 = 152,312/x
  3. Step 3: Cross multiply
    75,119x = 152,312 × 152,312
  4. Step 4: Simplify right side
    75,119x = 23,198,945,344
  5. Step 5: Solve for x
    x = 23,198,945,344/75,119
  6. Step 6: Final answer
    x = 308,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.