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Finding the Third Proportional to 492,160.50 and 703,786.50

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Solution

The third proportional to 492,160.50 and 703,786.50 is: 1,006,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,160.50 : 703,786.50 = 703,786.50 : x
  2. Step 2: Convert to fraction form
    492,160.50/703,786.50 = 703,786.50/x
  3. Step 3: Cross multiply
    492,160.50x = 703,786.50 × 703,786.50
  4. Step 4: Simplify right side
    492,160.50x = 495,315,437,582.25
  5. Step 5: Solve for x
    x = 495,315,437,582.25/492,160.50
  6. Step 6: Final answer
    x = 1,006,410.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.