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Finding the Third Proportional to 202,398,832 and 443,802,080

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Solution

The third proportional to 202,398,832 and 443,802,080 is: 973,129,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398,832 : 443,802,080 = 443,802,080 : x
  2. Step 2: Convert to fraction form
    202,398,832/443,802,080 = 443,802,080/x
  3. Step 3: Cross multiply
    202,398,832x = 443,802,080 × 443,802,080
  4. Step 4: Simplify right side
    202,398,832x = 196,960,286,212,326,400
  5. Step 5: Solve for x
    x = 196,960,286,212,326,400/202,398,832
  6. Step 6: Final answer
    x = 973,129,559.43

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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.