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Finding the Third Proportional to 4,946,346 and 10,738,696.50

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Solution

The third proportional to 4,946,346 and 10,738,696.50 is: 23,314,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,346 : 10,738,696.50 = 10,738,696.50 : x
  2. Step 2: Convert to fraction form
    4,946,346/10,738,696.50 = 10,738,696.50/x
  3. Step 3: Cross multiply
    4,946,346x = 10,738,696.50 × 10,738,696.50
  4. Step 4: Simplify right side
    4,946,346x = 115,319,602,519,112.25
  5. Step 5: Solve for x
    x = 115,319,602,519,112.25/4,946,346
  6. Step 6: Final answer
    x = 23,314,099.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.