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Finding the Third Proportional to 139,590 and 306,828

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Solution

The third proportional to 139,590 and 306,828 is: 674,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,590 : 306,828 = 306,828 : x
  2. Step 2: Convert to fraction form
    139,590/306,828 = 306,828/x
  3. Step 3: Cross multiply
    139,590x = 306,828 × 306,828
  4. Step 4: Simplify right side
    139,590x = 94,143,421,584
  5. Step 5: Solve for x
    x = 94,143,421,584/139,590
  6. Step 6: Final answer
    x = 674,428.12

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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.