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Finding the Third Proportional to 204,467,724 and 440,113,312

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Solution

The third proportional to 204,467,724 and 440,113,312 is: 947,336,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,467,724 : 440,113,312 = 440,113,312 : x
  2. Step 2: Convert to fraction form
    204,467,724/440,113,312 = 440,113,312/x
  3. Step 3: Cross multiply
    204,467,724x = 440,113,312 × 440,113,312
  4. Step 4: Simplify right side
    204,467,724x = 193,699,727,399,609,344
  5. Step 5: Solve for x
    x = 193,699,727,399,609,344/204,467,724
  6. Step 6: Final answer
    x = 947,336,448.07

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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.