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Finding the Third Proportional to 82,837,742 and 129,664,821

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Solution

The third proportional to 82,837,742 and 129,664,821 is: 202,962,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,837,742 : 129,664,821 = 129,664,821 : x
  2. Step 2: Convert to fraction form
    82,837,742/129,664,821 = 129,664,821/x
  3. Step 3: Cross multiply
    82,837,742x = 129,664,821 × 129,664,821
  4. Step 4: Simplify right side
    82,837,742x = 16,812,965,804,962,040
  5. Step 5: Solve for x
    x = 16,812,965,804,962,040/82,837,742
  6. Step 6: Final answer
    x = 202,962,627.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.