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Finding the Third Proportional to 7,161,491 and 11,358,569

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Solution

The third proportional to 7,161,491 and 11,358,569 is: 18,015,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,491 : 11,358,569 = 11,358,569 : x
  2. Step 2: Convert to fraction form
    7,161,491/11,358,569 = 11,358,569/x
  3. Step 3: Cross multiply
    7,161,491x = 11,358,569 × 11,358,569
  4. Step 4: Simplify right side
    7,161,491x = 129,017,089,727,761
  5. Step 5: Solve for x
    x = 129,017,089,727,761/7,161,491
  6. Step 6: Final answer
    x = 18,015,395.08

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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.