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Finding the Third Proportional to 109,836 and 234,495

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Solution

The third proportional to 109,836 and 234,495 is: 500,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,836 : 234,495 = 234,495 : x
  2. Step 2: Convert to fraction form
    109,836/234,495 = 234,495/x
  3. Step 3: Cross multiply
    109,836x = 234,495 × 234,495
  4. Step 4: Simplify right side
    109,836x = 54,987,905,025
  5. Step 5: Solve for x
    x = 54,987,905,025/109,836
  6. Step 6: Final answer
    x = 500,636.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.