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Finding the Third Proportional to 7,678,921 and 16,420,720

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Solution

The third proportional to 7,678,921 and 16,420,720 is: 35,114,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,921 : 16,420,720 = 16,420,720 : x
  2. Step 2: Convert to fraction form
    7,678,921/16,420,720 = 16,420,720/x
  3. Step 3: Cross multiply
    7,678,921x = 16,420,720 × 16,420,720
  4. Step 4: Simplify right side
    7,678,921x = 269,640,045,318,400
  5. Step 5: Solve for x
    x = 269,640,045,318,400/7,678,921
  6. Step 6: Final answer
    x = 35,114,314.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.