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Finding the Third Proportional to 78,863,067 and 172,567,732

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Solution

The third proportional to 78,863,067 and 172,567,732 is: 377,611,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,863,067 : 172,567,732 = 172,567,732 : x
  2. Step 2: Convert to fraction form
    78,863,067/172,567,732 = 172,567,732/x
  3. Step 3: Cross multiply
    78,863,067x = 172,567,732 × 172,567,732
  4. Step 4: Simplify right side
    78,863,067x = 29,779,622,127,623,824
  5. Step 5: Solve for x
    x = 29,779,622,127,623,824/78,863,067
  6. Step 6: Final answer
    x = 377,611,767.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.