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Finding the Third Proportional to 120,528 and 180,063

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Solution

The third proportional to 120,528 and 180,063 is: 269,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,528 : 180,063 = 180,063 : x
  2. Step 2: Convert to fraction form
    120,528/180,063 = 180,063/x
  3. Step 3: Cross multiply
    120,528x = 180,063 × 180,063
  4. Step 4: Simplify right side
    120,528x = 32,422,683,969
  5. Step 5: Solve for x
    x = 32,422,683,969/120,528
  6. Step 6: Final answer
    x = 269,005.41

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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.