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Finding the Third Proportional to 493,560 and 746,415

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Solution

The third proportional to 493,560 and 746,415 is: 1,128,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,560 : 746,415 = 746,415 : x
  2. Step 2: Convert to fraction form
    493,560/746,415 = 746,415/x
  3. Step 3: Cross multiply
    493,560x = 746,415 × 746,415
  4. Step 4: Simplify right side
    493,560x = 557,135,352,225
  5. Step 5: Solve for x
    x = 557,135,352,225/493,560
  6. Step 6: Final answer
    x = 1,128,809.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.