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Finding the Third Proportional to 163,656 and 252,720

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Solution

The third proportional to 163,656 and 252,720 is: 390,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,656 : 252,720 = 252,720 : x
  2. Step 2: Convert to fraction form
    163,656/252,720 = 252,720/x
  3. Step 3: Cross multiply
    163,656x = 252,720 × 252,720
  4. Step 4: Simplify right side
    163,656x = 63,867,398,400
  5. Step 5: Solve for x
    x = 63,867,398,400/163,656
  6. Step 6: Final answer
    x = 390,253.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.