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Finding the Third Proportional to 11,348,110.75 and 23,503,693.50

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Solution

The third proportional to 11,348,110.75 and 23,503,693.50 is: 48,679,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348,110.75 : 23,503,693.50 = 23,503,693.50 : x
  2. Step 2: Convert to fraction form
    11,348,110.75/23,503,693.50 = 23,503,693.50/x
  3. Step 3: Cross multiply
    11,348,110.75x = 23,503,693.50 × 23,503,693.50
  4. Step 4: Simplify right side
    11,348,110.75x = 552,423,608,141,942.25
  5. Step 5: Solve for x
    x = 552,423,608,141,942.25/11,348,110.75
  6. Step 6: Final answer
    x = 48,679,786.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.