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Finding the Third Proportional to 11,580,219 and 15,438,538

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Solution

The third proportional to 11,580,219 and 15,438,538 is: 20,582,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580,219 : 15,438,538 = 15,438,538 : x
  2. Step 2: Convert to fraction form
    11,580,219/15,438,538 = 15,438,538/x
  3. Step 3: Cross multiply
    11,580,219x = 15,438,538 × 15,438,538
  4. Step 4: Simplify right side
    11,580,219x = 238,348,455,577,444
  5. Step 5: Solve for x
    x = 238,348,455,577,444/11,580,219
  6. Step 6: Final answer
    x = 20,582,378.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.