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Finding the Third Proportional to 5,110,839 and 10,930,812.50

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Solution

The third proportional to 5,110,839 and 10,930,812.50 is: 23,378,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110,839 : 10,930,812.50 = 10,930,812.50 : x
  2. Step 2: Convert to fraction form
    5,110,839/10,930,812.50 = 10,930,812.50/x
  3. Step 3: Cross multiply
    5,110,839x = 10,930,812.50 × 10,930,812.50
  4. Step 4: Simplify right side
    5,110,839x = 119,482,661,910,156.25
  5. Step 5: Solve for x
    x = 119,482,661,910,156.25/5,110,839
  6. Step 6: Final answer
    x = 23,378,287.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.