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Finding the Third Proportional to 139,260 and 285,894

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Solution

The third proportional to 139,260 and 285,894 is: 586,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,260 : 285,894 = 285,894 : x
  2. Step 2: Convert to fraction form
    139,260/285,894 = 285,894/x
  3. Step 3: Cross multiply
    139,260x = 285,894 × 285,894
  4. Step 4: Simplify right side
    139,260x = 81,735,379,236
  5. Step 5: Solve for x
    x = 81,735,379,236/139,260
  6. Step 6: Final answer
    x = 586,926.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.