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Finding the Third Proportional to 4,620,940 and 10,304,388.50

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Solution

The third proportional to 4,620,940 and 10,304,388.50 is: 22,978,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620,940 : 10,304,388.50 = 10,304,388.50 : x
  2. Step 2: Convert to fraction form
    4,620,940/10,304,388.50 = 10,304,388.50/x
  3. Step 3: Cross multiply
    4,620,940x = 10,304,388.50 × 10,304,388.50
  4. Step 4: Simplify right side
    4,620,940x = 106,180,422,358,932.25
  5. Step 5: Solve for x
    x = 106,180,422,358,932.25/4,620,940
  6. Step 6: Final answer
    x = 22,978,100.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.