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Finding the Third Proportional to 93,435 and 136,696.50

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Solution

The third proportional to 93,435 and 136,696.50 is: 199,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,435 : 136,696.50 = 136,696.50 : x
  2. Step 2: Convert to fraction form
    93,435/136,696.50 = 136,696.50/x
  3. Step 3: Cross multiply
    93,435x = 136,696.50 × 136,696.50
  4. Step 4: Simplify right side
    93,435x = 18,685,933,112.25
  5. Step 5: Solve for x
    x = 18,685,933,112.25/93,435
  6. Step 6: Final answer
    x = 199,988.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.