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Finding the Third Proportional to 421,120,822.50 and 654,646,245.75

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Solution

The third proportional to 421,120,822.50 and 654,646,245.75 is: 1,017,669,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,120,822.50 : 654,646,245.75 = 654,646,245.75 : x
  2. Step 2: Convert to fraction form
    421,120,822.50/654,646,245.75 = 654,646,245.75/x
  3. Step 3: Cross multiply
    421,120,822.50x = 654,646,245.75 × 654,646,245.75
  4. Step 4: Simplify right side
    421,120,822.50x = 428,561,707,074,569,408
  5. Step 5: Solve for x
    x = 428,561,707,074,569,408/421,120,822.50
  6. Step 6: Final answer
    x = 1,017,669,239.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.