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Finding the Third Proportional to 5,128,582.50 and 8,120,980.69

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Solution

The third proportional to 5,128,582.50 and 8,120,980.69 is: 12,859,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128,582.50 : 8,120,980.69 = 8,120,980.69 : x
  2. Step 2: Convert to fraction form
    5,128,582.50/8,120,980.69 = 8,120,980.69/x
  3. Step 3: Cross multiply
    5,128,582.50x = 8,120,980.69 × 8,120,980.69
  4. Step 4: Simplify right side
    5,128,582.50x = 65,950,327,326,747.97
  5. Step 5: Solve for x
    x = 65,950,327,326,747.97/5,128,582.50
  6. Step 6: Final answer
    x = 12,859,367.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.