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Finding the Third Proportional to 121,130 and 183,882

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Solution

The third proportional to 121,130 and 183,882 is: 279,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,130 : 183,882 = 183,882 : x
  2. Step 2: Convert to fraction form
    121,130/183,882 = 183,882/x
  3. Step 3: Cross multiply
    121,130x = 183,882 × 183,882
  4. Step 4: Simplify right side
    121,130x = 33,812,589,924
  5. Step 5: Solve for x
    x = 33,812,589,924/121,130
  6. Step 6: Final answer
    x = 279,142.99

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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.