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Finding the Third Proportional to 75,121 and 152,316

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Solution

The third proportional to 75,121 and 152,316 is: 308,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,121 : 152,316 = 152,316 : x
  2. Step 2: Convert to fraction form
    75,121/152,316 = 152,316/x
  3. Step 3: Cross multiply
    75,121x = 152,316 × 152,316
  4. Step 4: Simplify right side
    75,121x = 23,200,163,856
  5. Step 5: Solve for x
    x = 23,200,163,856/75,121
  6. Step 6: Final answer
    x = 308,837.26

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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.