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Finding the Third Proportional to 355,590 and 770,472

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Solution

The third proportional to 355,590 and 770,472 is: 1,669,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,590 : 770,472 = 770,472 : x
  2. Step 2: Convert to fraction form
    355,590/770,472 = 770,472/x
  3. Step 3: Cross multiply
    355,590x = 770,472 × 770,472
  4. Step 4: Simplify right side
    355,590x = 593,627,102,784
  5. Step 5: Solve for x
    x = 593,627,102,784/355,590
  6. Step 6: Final answer
    x = 1,669,414.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.