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Finding the Third Proportional to 135,734 and 289,495

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Solution

The third proportional to 135,734 and 289,495 is: 617,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,734 : 289,495 = 289,495 : x
  2. Step 2: Convert to fraction form
    135,734/289,495 = 289,495/x
  3. Step 3: Cross multiply
    135,734x = 289,495 × 289,495
  4. Step 4: Simplify right side
    135,734x = 83,807,355,025
  5. Step 5: Solve for x
    x = 83,807,355,025/135,734
  6. Step 6: Final answer
    x = 617,438.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.