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Finding the Third Proportional to 78,924 and 120,357

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Solution

The third proportional to 78,924 and 120,357 is: 183,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,924 : 120,357 = 120,357 : x
  2. Step 2: Convert to fraction form
    78,924/120,357 = 120,357/x
  3. Step 3: Cross multiply
    78,924x = 120,357 × 120,357
  4. Step 4: Simplify right side
    78,924x = 14,485,807,449
  5. Step 5: Solve for x
    x = 14,485,807,449/78,924
  6. Step 6: Final answer
    x = 183,541.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.