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Finding the Third Proportional to 10,710,184.50 and 23,546,133

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Solution

The third proportional to 10,710,184.50 and 23,546,133 is: 51,765,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710,184.50 : 23,546,133 = 23,546,133 : x
  2. Step 2: Convert to fraction form
    10,710,184.50/23,546,133 = 23,546,133/x
  3. Step 3: Cross multiply
    10,710,184.50x = 23,546,133 × 23,546,133
  4. Step 4: Simplify right side
    10,710,184.50x = 554,420,379,253,689
  5. Step 5: Solve for x
    x = 554,420,379,253,689/10,710,184.50
  6. Step 6: Final answer
    x = 51,765,716.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.