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Finding the Third Proportional to 73,685,326,986 and 113,189,676,831

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Solution

The third proportional to 73,685,326,986 and 113,189,676,831 is: 173,873,191,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,685,326,986 : 113,189,676,831 = 113,189,676,831 : x
  2. Step 2: Convert to fraction form
    73,685,326,986/113,189,676,831 = 113,189,676,831/x
  3. Step 3: Cross multiply
    73,685,326,986x = 113,189,676,831 × 113,189,676,831
  4. Step 4: Simplify right side
    73,685,326,986x = 12,811,902,941,106,217,680,896
  5. Step 5: Solve for x
    x = 12,811,902,941,106,217,680,896/73,685,326,986
  6. Step 6: Final answer
    x = 173,873,191,110.90

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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.