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Finding the Third Proportional to 133,748,374.50 and 271,257,450

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Solution

The third proportional to 133,748,374.50 and 271,257,450 is: 550,142,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,748,374.50 : 271,257,450 = 271,257,450 : x
  2. Step 2: Convert to fraction form
    133,748,374.50/271,257,450 = 271,257,450/x
  3. Step 3: Cross multiply
    133,748,374.50x = 271,257,450 × 271,257,450
  4. Step 4: Simplify right side
    133,748,374.50x = 73,580,604,180,502,496
  5. Step 5: Solve for x
    x = 73,580,604,180,502,496/133,748,374.50
  6. Step 6: Final answer
    x = 550,142,044.38

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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.