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Finding the Third Proportional to 163,120 and 252,108

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Solution

The third proportional to 163,120 and 252,108 is: 389,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,120 : 252,108 = 252,108 : x
  2. Step 2: Convert to fraction form
    163,120/252,108 = 252,108/x
  3. Step 3: Cross multiply
    163,120x = 252,108 × 252,108
  4. Step 4: Simplify right side
    163,120x = 63,558,443,664
  5. Step 5: Solve for x
    x = 63,558,443,664/163,120
  6. Step 6: Final answer
    x = 389,642.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.