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Finding the Third Proportional to 78,027,469 and 171,500,018

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Solution

The third proportional to 78,027,469 and 171,500,018 is: 376,947,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027,469 : 171,500,018 = 171,500,018 : x
  2. Step 2: Convert to fraction form
    78,027,469/171,500,018 = 171,500,018/x
  3. Step 3: Cross multiply
    78,027,469x = 171,500,018 × 171,500,018
  4. Step 4: Simplify right side
    78,027,469x = 29,412,256,174,000,324
  5. Step 5: Solve for x
    x = 29,412,256,174,000,324/78,027,469
  6. Step 6: Final answer
    x = 376,947,459.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.