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Finding the Third Proportional to 5,190,538 and 8,265,455

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Solution

The third proportional to 5,190,538 and 8,265,455 is: 13,161,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190,538 : 8,265,455 = 8,265,455 : x
  2. Step 2: Convert to fraction form
    5,190,538/8,265,455 = 8,265,455/x
  3. Step 3: Cross multiply
    5,190,538x = 8,265,455 × 8,265,455
  4. Step 4: Simplify right side
    5,190,538x = 68,317,746,357,025
  5. Step 5: Solve for x
    x = 68,317,746,357,025/5,190,538
  6. Step 6: Final answer
    x = 13,161,977.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.