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Finding the Third Proportional to 253,808,456 and 342,447,198

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Solution

The third proportional to 253,808,456 and 342,447,198 is: 462,041,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,456 : 342,447,198 = 342,447,198 : x
  2. Step 2: Convert to fraction form
    253,808,456/342,447,198 = 342,447,198/x
  3. Step 3: Cross multiply
    253,808,456x = 342,447,198 × 342,447,198
  4. Step 4: Simplify right side
    253,808,456x = 117,270,083,418,051,200
  5. Step 5: Solve for x
    x = 117,270,083,418,051,200/253,808,456
  6. Step 6: Final answer
    x = 462,041,672.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.