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Finding the Third Proportional to 30,677,810.50 and 68,165,658.50

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Solution

The third proportional to 30,677,810.50 and 68,165,658.50 is: 151,463,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677,810.50 : 68,165,658.50 = 68,165,658.50 : x
  2. Step 2: Convert to fraction form
    30,677,810.50/68,165,658.50 = 68,165,658.50/x
  3. Step 3: Cross multiply
    30,677,810.50x = 68,165,658.50 × 68,165,658.50
  4. Step 4: Simplify right side
    30,677,810.50x = 4,646,556,998,738,622
  5. Step 5: Solve for x
    x = 4,646,556,998,738,622/30,677,810.50
  6. Step 6: Final answer
    x = 151,463,123.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.