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Finding the Third Proportional to 154,698 and 246,155

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Solution

The third proportional to 154,698 and 246,155 is: 391,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,698 : 246,155 = 246,155 : x
  2. Step 2: Convert to fraction form
    154,698/246,155 = 246,155/x
  3. Step 3: Cross multiply
    154,698x = 246,155 × 246,155
  4. Step 4: Simplify right side
    154,698x = 60,592,284,025
  5. Step 5: Solve for x
    x = 60,592,284,025/154,698
  6. Step 6: Final answer
    x = 391,681.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.