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Finding the Third Proportional to 121,143 and 180,534

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Solution

The third proportional to 121,143 and 180,534 is: 269,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,143 : 180,534 = 180,534 : x
  2. Step 2: Convert to fraction form
    121,143/180,534 = 180,534/x
  3. Step 3: Cross multiply
    121,143x = 180,534 × 180,534
  4. Step 4: Simplify right side
    121,143x = 32,592,525,156
  5. Step 5: Solve for x
    x = 32,592,525,156/121,143
  6. Step 6: Final answer
    x = 269,041.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.