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Finding the Third Proportional to 78,027,467 and 171,500,014

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Solution

The third proportional to 78,027,467 and 171,500,014 is: 376,947,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027,467 : 171,500,014 = 171,500,014 : x
  2. Step 2: Convert to fraction form
    78,027,467/171,500,014 = 171,500,014/x
  3. Step 3: Cross multiply
    78,027,467x = 171,500,014 × 171,500,014
  4. Step 4: Simplify right side
    78,027,467x = 29,412,254,802,000,196
  5. Step 5: Solve for x
    x = 29,412,254,802,000,196/78,027,467
  6. Step 6: Final answer
    x = 376,947,451.11

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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.