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Finding the Third Proportional to 69,235,857 and 109,633,206.38

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Solution

The third proportional to 69,235,857 and 109,633,206.38 is: 173,601,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,235,857 : 109,633,206.38 = 109,633,206.38 : x
  2. Step 2: Convert to fraction form
    69,235,857/109,633,206.38 = 109,633,206.38/x
  3. Step 3: Cross multiply
    69,235,857x = 109,633,206.38 × 109,633,206.38
  4. Step 4: Simplify right side
    69,235,857x = 12,019,439,940,063,340
  5. Step 5: Solve for x
    x = 12,019,439,940,063,340/69,235,857
  6. Step 6: Final answer
    x = 173,601,374.50

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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.