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Finding the Third Proportional to 172,878 and 369,732

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Solution

The third proportional to 172,878 and 369,732 is: 790,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,878 : 369,732 = 369,732 : x
  2. Step 2: Convert to fraction form
    172,878/369,732 = 369,732/x
  3. Step 3: Cross multiply
    172,878x = 369,732 × 369,732
  4. Step 4: Simplify right side
    172,878x = 136,701,751,824
  5. Step 5: Solve for x
    x = 136,701,751,824/172,878
  6. Step 6: Final answer
    x = 790,741.17

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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.