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Finding the Third Proportional to 5,787,193.50 and 8,463,499.88

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Solution

The third proportional to 5,787,193.50 and 8,463,499.88 is: 12,377,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,193.50 : 8,463,499.88 = 8,463,499.88 : x
  2. Step 2: Convert to fraction form
    5,787,193.50/8,463,499.88 = 8,463,499.88/x
  3. Step 3: Cross multiply
    5,787,193.50x = 8,463,499.88 × 8,463,499.88
  4. Step 4: Simplify right side
    5,787,193.50x = 71,630,830,134,125.02
  5. Step 5: Solve for x
    x = 71,630,830,134,125.02/5,787,193.50
  6. Step 6: Final answer
    x = 12,377,472.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.