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Finding the Third Proportional to 172,971 and 378,732

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Solution

The third proportional to 172,971 and 378,732 is: 829,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,971 : 378,732 = 378,732 : x
  2. Step 2: Convert to fraction form
    172,971/378,732 = 378,732/x
  3. Step 3: Cross multiply
    172,971x = 378,732 × 378,732
  4. Step 4: Simplify right side
    172,971x = 143,437,927,824
  5. Step 5: Solve for x
    x = 143,437,927,824/172,971
  6. Step 6: Final answer
    x = 829,259.98

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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.