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Finding the Third Proportional to 135,664 and 289,341

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Solution

The third proportional to 135,664 and 289,341 is: 617,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,664 : 289,341 = 289,341 : x
  2. Step 2: Convert to fraction form
    135,664/289,341 = 289,341/x
  3. Step 3: Cross multiply
    135,664x = 289,341 × 289,341
  4. Step 4: Simplify right side
    135,664x = 83,718,214,281
  5. Step 5: Solve for x
    x = 83,718,214,281/135,664
  6. Step 6: Final answer
    x = 617,099.70

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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.