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Finding the Third Proportional to 78,824 and 115,932

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Solution

The third proportional to 78,824 and 115,932 is: 170,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824 : 115,932 = 115,932 : x
  2. Step 2: Convert to fraction form
    78,824/115,932 = 115,932/x
  3. Step 3: Cross multiply
    78,824x = 115,932 × 115,932
  4. Step 4: Simplify right side
    78,824x = 13,440,228,624
  5. Step 5: Solve for x
    x = 13,440,228,624/78,824
  6. Step 6: Final answer
    x = 170,509.35

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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.