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Finding the Third Proportional to 31,377,982.50 and 68,313,861

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Solution

The third proportional to 31,377,982.50 and 68,313,861 is: 148,727,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377,982.50 : 68,313,861 = 68,313,861 : x
  2. Step 2: Convert to fraction form
    31,377,982.50/68,313,861 = 68,313,861/x
  3. Step 3: Cross multiply
    31,377,982.50x = 68,313,861 × 68,313,861
  4. Step 4: Simplify right side
    31,377,982.50x = 4,666,783,604,727,321
  5. Step 5: Solve for x
    x = 4,666,783,604,727,321/31,377,982.50
  6. Step 6: Final answer
    x = 148,727,968.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.