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Finding the Third Proportional to 139,584 and 306,816

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Solution

The third proportional to 139,584 and 306,816 is: 674,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,584 : 306,816 = 306,816 : x
  2. Step 2: Convert to fraction form
    139,584/306,816 = 306,816/x
  3. Step 3: Cross multiply
    139,584x = 306,816 × 306,816
  4. Step 4: Simplify right side
    139,584x = 94,136,057,856
  5. Step 5: Solve for x
    x = 94,136,057,856/139,584
  6. Step 6: Final answer
    x = 674,404.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.