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Finding the Third Proportional to 133,446,375 and 288,476,497.50

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Solution

The third proportional to 133,446,375 and 288,476,497.50 is: 623,611,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,446,375 : 288,476,497.50 = 288,476,497.50 : x
  2. Step 2: Convert to fraction form
    133,446,375/288,476,497.50 = 288,476,497.50/x
  3. Step 3: Cross multiply
    133,446,375x = 288,476,497.50 × 288,476,497.50
  4. Step 4: Simplify right side
    133,446,375x = 83,218,689,609,867,504
  5. Step 5: Solve for x
    x = 83,218,689,609,867,504/133,446,375
  6. Step 6: Final answer
    x = 623,611,466.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.