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Finding the Third Proportional to 39,820,900 and 85,100,552

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Solution

The third proportional to 39,820,900 and 85,100,552 is: 181,866,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820,900 : 85,100,552 = 85,100,552 : x
  2. Step 2: Convert to fraction form
    39,820,900/85,100,552 = 85,100,552/x
  3. Step 3: Cross multiply
    39,820,900x = 85,100,552 × 85,100,552
  4. Step 4: Simplify right side
    39,820,900x = 7,242,103,950,704,704
  5. Step 5: Solve for x
    x = 7,242,103,950,704,704/39,820,900
  6. Step 6: Final answer
    x = 181,866,907.85

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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.