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Finding the Third Proportional to 31,355,169 and 67,515,450

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Solution

The third proportional to 31,355,169 and 67,515,450 is: 145,377,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,355,169 : 67,515,450 = 67,515,450 : x
  2. Step 2: Convert to fraction form
    31,355,169/67,515,450 = 67,515,450/x
  3. Step 3: Cross multiply
    31,355,169x = 67,515,450 × 67,515,450
  4. Step 4: Simplify right side
    31,355,169x = 4,558,335,988,702,500
  5. Step 5: Solve for x
    x = 4,558,335,988,702,500/31,355,169
  6. Step 6: Final answer
    x = 145,377,497.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.