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Finding the Third Proportional to 430,920 and 643,734

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Solution

The third proportional to 430,920 and 643,734 is: 961,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,920 : 643,734 = 643,734 : x
  2. Step 2: Convert to fraction form
    430,920/643,734 = 643,734/x
  3. Step 3: Cross multiply
    430,920x = 643,734 × 643,734
  4. Step 4: Simplify right side
    430,920x = 414,393,462,756
  5. Step 5: Solve for x
    x = 414,393,462,756/430,920
  6. Step 6: Final answer
    x = 961,648.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.