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Finding the Third Proportional to 50,164,365 and 110,193,604.50

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Solution

The third proportional to 50,164,365 and 110,193,604.50 is: 242,056,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,164,365 : 110,193,604.50 = 110,193,604.50 : x
  2. Step 2: Convert to fraction form
    50,164,365/110,193,604.50 = 110,193,604.50/x
  3. Step 3: Cross multiply
    50,164,365x = 110,193,604.50 × 110,193,604.50
  4. Step 4: Simplify right side
    50,164,365x = 12,142,630,472,702,420
  5. Step 5: Solve for x
    x = 12,142,630,472,702,420/50,164,365
  6. Step 6: Final answer
    x = 242,056,895.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.