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Finding the Third Proportional to 6,631,415 and 9,971,729

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Solution

The third proportional to 6,631,415 and 9,971,729 is: 14,994,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631,415 : 9,971,729 = 9,971,729 : x
  2. Step 2: Convert to fraction form
    6,631,415/9,971,729 = 9,971,729/x
  3. Step 3: Cross multiply
    6,631,415x = 9,971,729 × 9,971,729
  4. Step 4: Simplify right side
    6,631,415x = 99,435,379,249,441
  5. Step 5: Solve for x
    x = 99,435,379,249,441/6,631,415
  6. Step 6: Final answer
    x = 14,994,594.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.