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Finding the Third Proportional to 134,090 and 279,304

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Solution

The third proportional to 134,090 and 279,304 is: 581,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,090 : 279,304 = 279,304 : x
  2. Step 2: Convert to fraction form
    134,090/279,304 = 279,304/x
  3. Step 3: Cross multiply
    134,090x = 279,304 × 279,304
  4. Step 4: Simplify right side
    134,090x = 78,010,724,416
  5. Step 5: Solve for x
    x = 78,010,724,416/134,090
  6. Step 6: Final answer
    x = 581,778.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.