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Finding the Third Proportional to 78,822 and 115,929

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Solution

The third proportional to 78,822 and 115,929 is: 170,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822 : 115,929 = 115,929 : x
  2. Step 2: Convert to fraction form
    78,822/115,929 = 115,929/x
  3. Step 3: Cross multiply
    78,822x = 115,929 × 115,929
  4. Step 4: Simplify right side
    78,822x = 13,439,533,041
  5. Step 5: Solve for x
    x = 13,439,533,041/78,822
  6. Step 6: Final answer
    x = 170,504.85

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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.