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Finding the Third Proportional to 10,106,578 and 15,550,219

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Solution

The third proportional to 10,106,578 and 15,550,219 is: 23,925,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,578 : 15,550,219 = 15,550,219 : x
  2. Step 2: Convert to fraction form
    10,106,578/15,550,219 = 15,550,219/x
  3. Step 3: Cross multiply
    10,106,578x = 15,550,219 × 15,550,219
  4. Step 4: Simplify right side
    10,106,578x = 241,809,310,947,961
  5. Step 5: Solve for x
    x = 241,809,310,947,961/10,106,578
  6. Step 6: Final answer
    x = 23,925,933.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.