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Finding the Third Proportional to 134,400 and 221,304

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Solution

The third proportional to 134,400 and 221,304 is: 364,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,400 : 221,304 = 221,304 : x
  2. Step 2: Convert to fraction form
    134,400/221,304 = 221,304/x
  3. Step 3: Cross multiply
    134,400x = 221,304 × 221,304
  4. Step 4: Simplify right side
    134,400x = 48,975,460,416
  5. Step 5: Solve for x
    x = 48,975,460,416/134,400
  6. Step 6: Final answer
    x = 364,400.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.