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Finding the Third Proportional to 7,461,921 and 15,820,620

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Solution

The third proportional to 7,461,921 and 15,820,620 is: 33,542,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461,921 : 15,820,620 = 15,820,620 : x
  2. Step 2: Convert to fraction form
    7,461,921/15,820,620 = 15,820,620/x
  3. Step 3: Cross multiply
    7,461,921x = 15,820,620 × 15,820,620
  4. Step 4: Simplify right side
    7,461,921x = 250,292,017,184,400
  5. Step 5: Solve for x
    x = 250,292,017,184,400/7,461,921
  6. Step 6: Final answer
    x = 33,542,571.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.