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Finding the Third Proportional to 31,842,357.75 and 69,449,085

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Solution

The third proportional to 31,842,357.75 and 69,449,085 is: 151,470,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842,357.75 : 69,449,085 = 69,449,085 : x
  2. Step 2: Convert to fraction form
    31,842,357.75/69,449,085 = 69,449,085/x
  3. Step 3: Cross multiply
    31,842,357.75x = 69,449,085 × 69,449,085
  4. Step 4: Simplify right side
    31,842,357.75x = 4,823,175,407,337,225
  5. Step 5: Solve for x
    x = 4,823,175,407,337,225/31,842,357.75
  6. Step 6: Final answer
    x = 151,470,423.30

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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.