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Finding the Third Proportional to 31,872,477 and 69,690,496.50

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Solution

The third proportional to 31,872,477 and 69,690,496.50 is: 152,381,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872,477 : 69,690,496.50 = 69,690,496.50 : x
  2. Step 2: Convert to fraction form
    31,872,477/69,690,496.50 = 69,690,496.50/x
  3. Step 3: Cross multiply
    31,872,477x = 69,690,496.50 × 69,690,496.50
  4. Step 4: Simplify right side
    31,872,477x = 4,856,765,302,416,512
  5. Step 5: Solve for x
    x = 4,856,765,302,416,512/31,872,477
  6. Step 6: Final answer
    x = 152,381,168.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.