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Finding the Third Proportional to 437,498 and 685,406

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Solution

The third proportional to 437,498 and 685,406 is: 1,073,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,498 : 685,406 = 685,406 : x
  2. Step 2: Convert to fraction form
    437,498/685,406 = 685,406/x
  3. Step 3: Cross multiply
    437,498x = 685,406 × 685,406
  4. Step 4: Simplify right side
    437,498x = 469,781,384,836
  5. Step 5: Solve for x
    x = 469,781,384,836/437,498
  6. Step 6: Final answer
    x = 1,073,790.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.