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Finding the Third Proportional to 133,748,381 and 271,257,463

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Solution

The third proportional to 133,748,381 and 271,257,463 is: 550,142,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,748,381 : 271,257,463 = 271,257,463 : x
  2. Step 2: Convert to fraction form
    133,748,381/271,257,463 = 271,257,463/x
  3. Step 3: Cross multiply
    133,748,381x = 271,257,463 × 271,257,463
  4. Step 4: Simplify right side
    133,748,381x = 73,580,611,233,196,368
  5. Step 5: Solve for x
    x = 73,580,611,233,196,368/133,748,381
  6. Step 6: Final answer
    x = 550,142,070.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.