Home / 272,131,739.23-420,227,937.98

Finding the Third Proportional to 272,131,739.23 and 420,227,937.98

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Solution

The third proportional to 272,131,739.23 and 420,227,937.98 is: 648,919,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,131,739.23 : 420,227,937.98 = 420,227,937.98 : x
  2. Step 2: Convert to fraction form
    272,131,739.23/420,227,937.98 = 420,227,937.98/x
  3. Step 3: Cross multiply
    272,131,739.23x = 420,227,937.98 × 420,227,937.98
  4. Step 4: Simplify right side
    272,131,739.23x = 176,591,519,862,587,104
  5. Step 5: Solve for x
    x = 176,591,519,862,587,104/272,131,739.23
  6. Step 6: Final answer
    x = 648,919,234.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.