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Finding the Third Proportional to 377,493,005.81 and 820,328,542.88

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Solution

The third proportional to 377,493,005.81 and 820,328,542.88 is: 1,782,652,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,493,005.81 : 820,328,542.88 = 820,328,542.88 : x
  2. Step 2: Convert to fraction form
    377,493,005.81/820,328,542.88 = 820,328,542.88/x
  3. Step 3: Cross multiply
    377,493,005.81x = 820,328,542.88 × 820,328,542.88
  4. Step 4: Simplify right side
    377,493,005.81x = 672,938,918,255,420,672
  5. Step 5: Solve for x
    x = 672,938,918,255,420,672/377,493,005.81
  6. Step 6: Final answer
    x = 1,782,652,679.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.