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Finding the Third Proportional to 82,039,424 and 128,690,880

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Solution

The third proportional to 82,039,424 and 128,690,880 is: 201,870,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039,424 : 128,690,880 = 128,690,880 : x
  2. Step 2: Convert to fraction form
    82,039,424/128,690,880 = 128,690,880/x
  3. Step 3: Cross multiply
    82,039,424x = 128,690,880 × 128,690,880
  4. Step 4: Simplify right side
    82,039,424x = 16,561,342,595,174,400
  5. Step 5: Solve for x
    x = 16,561,342,595,174,400/82,039,424
  6. Step 6: Final answer
    x = 201,870,537.21

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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.