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Finding the Third Proportional to 432,016,821 and 686,288,983.50

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Solution

The third proportional to 432,016,821 and 686,288,983.50 is: 1,090,218,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,016,821 : 686,288,983.50 = 686,288,983.50 : x
  2. Step 2: Convert to fraction form
    432,016,821/686,288,983.50 = 686,288,983.50/x
  3. Step 3: Cross multiply
    432,016,821x = 686,288,983.50 × 686,288,983.50
  4. Step 4: Simplify right side
    432,016,821x = 470,992,568,873,463,296
  5. Step 5: Solve for x
    x = 470,992,568,873,463,296/432,016,821
  6. Step 6: Final answer
    x = 1,090,218,125.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.