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Finding the Third Proportional to 431,804 and 603,829

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Solution

The third proportional to 431,804 and 603,829 is: 844,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,804 : 603,829 = 603,829 : x
  2. Step 2: Convert to fraction form
    431,804/603,829 = 603,829/x
  3. Step 3: Cross multiply
    431,804x = 603,829 × 603,829
  4. Step 4: Simplify right side
    431,804x = 364,609,461,241
  5. Step 5: Solve for x
    x = 364,609,461,241/431,804
  6. Step 6: Final answer
    x = 844,386.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.