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Finding the Third Proportional to 455,965.50 and 782,360.25

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Solution

The third proportional to 455,965.50 and 782,360.25 is: 1,342,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,965.50 : 782,360.25 = 782,360.25 : x
  2. Step 2: Convert to fraction form
    455,965.50/782,360.25 = 782,360.25/x
  3. Step 3: Cross multiply
    455,965.50x = 782,360.25 × 782,360.25
  4. Step 4: Simplify right side
    455,965.50x = 612,087,560,780.06
  5. Step 5: Solve for x
    x = 612,087,560,780.06/455,965.50
  6. Step 6: Final answer
    x = 1,342,398.85

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.