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Finding the Third Proportional to 133,793 and 289,639

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Solution

The third proportional to 133,793 and 289,639 is: 627,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,793 : 289,639 = 289,639 : x
  2. Step 2: Convert to fraction form
    133,793/289,639 = 289,639/x
  3. Step 3: Cross multiply
    133,793x = 289,639 × 289,639
  4. Step 4: Simplify right side
    133,793x = 83,890,750,321
  5. Step 5: Solve for x
    x = 83,890,750,321/133,793
  6. Step 6: Final answer
    x = 627,018.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.