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Finding the Third Proportional to 210,956,988.94 and 454,315,120.31

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Solution

The third proportional to 210,956,988.94 and 454,315,120.31 is: 978,409,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,956,988.94 : 454,315,120.31 = 454,315,120.31 : x
  2. Step 2: Convert to fraction form
    210,956,988.94/454,315,120.31 = 454,315,120.31/x
  3. Step 3: Cross multiply
    210,956,988.94x = 454,315,120.31 × 454,315,120.31
  4. Step 4: Simplify right side
    210,956,988.94x = 206,402,228,544,561,344
  5. Step 5: Solve for x
    x = 206,402,228,544,561,344/210,956,988.94
  6. Step 6: Final answer
    x = 978,409,056.67

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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.