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Finding the Third Proportional to 258,132 and 378,732

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Solution

The third proportional to 258,132 and 378,732 is: 555,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,132 : 378,732 = 378,732 : x
  2. Step 2: Convert to fraction form
    258,132/378,732 = 378,732/x
  3. Step 3: Cross multiply
    258,132x = 378,732 × 378,732
  4. Step 4: Simplify right side
    258,132x = 143,437,927,824
  5. Step 5: Solve for x
    x = 143,437,927,824/258,132
  6. Step 6: Final answer
    x = 555,676.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.