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Finding the Third Proportional to 148,591 and 289,736

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Solution

The third proportional to 148,591 and 289,736 is: 564,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,591 : 289,736 = 289,736 : x
  2. Step 2: Convert to fraction form
    148,591/289,736 = 289,736/x
  3. Step 3: Cross multiply
    148,591x = 289,736 × 289,736
  4. Step 4: Simplify right side
    148,591x = 83,946,949,696
  5. Step 5: Solve for x
    x = 83,946,949,696/148,591
  6. Step 6: Final answer
    x = 564,953.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.