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Finding the Third Proportional to 121,428 and 180,896

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Solution

The third proportional to 121,428 and 180,896 is: 269,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,428 : 180,896 = 180,896 : x
  2. Step 2: Convert to fraction form
    121,428/180,896 = 180,896/x
  3. Step 3: Cross multiply
    121,428x = 180,896 × 180,896
  4. Step 4: Simplify right side
    121,428x = 32,723,362,816
  5. Step 5: Solve for x
    x = 32,723,362,816/121,428
  6. Step 6: Final answer
    x = 269,487.79

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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.