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Finding the Third Proportional to 133,979 and 281,746

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Solution

The third proportional to 133,979 and 281,746 is: 592,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,979 : 281,746 = 281,746 : x
  2. Step 2: Convert to fraction form
    133,979/281,746 = 281,746/x
  3. Step 3: Cross multiply
    133,979x = 281,746 × 281,746
  4. Step 4: Simplify right side
    133,979x = 79,380,808,516
  5. Step 5: Solve for x
    x = 79,380,808,516/133,979
  6. Step 6: Final answer
    x = 592,486.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.