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Finding the Third Proportional to 163,712 and 252,800

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Solution

The third proportional to 163,712 and 252,800 is: 390,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,712 : 252,800 = 252,800 : x
  2. Step 2: Convert to fraction form
    163,712/252,800 = 252,800/x
  3. Step 3: Cross multiply
    163,712x = 252,800 × 252,800
  4. Step 4: Simplify right side
    163,712x = 63,907,840,000
  5. Step 5: Solve for x
    x = 63,907,840,000/163,712
  6. Step 6: Final answer
    x = 390,367.47

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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.