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Finding the Third Proportional to 134,964 and 209,520

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Solution

The third proportional to 134,964 and 209,520 is: 325,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,964 : 209,520 = 209,520 : x
  2. Step 2: Convert to fraction form
    134,964/209,520 = 209,520/x
  3. Step 3: Cross multiply
    134,964x = 209,520 × 209,520
  4. Step 4: Simplify right side
    134,964x = 43,898,630,400
  5. Step 5: Solve for x
    x = 43,898,630,400/134,964
  6. Step 6: Final answer
    x = 325,261.78

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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.