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Finding the Third Proportional to 69,579,510 and 137,402,723

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Solution

The third proportional to 69,579,510 and 137,402,723 is: 271,337,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,579,510 : 137,402,723 = 137,402,723 : x
  2. Step 2: Convert to fraction form
    69,579,510/137,402,723 = 137,402,723/x
  3. Step 3: Cross multiply
    69,579,510x = 137,402,723 × 137,402,723
  4. Step 4: Simplify right side
    69,579,510x = 18,879,508,287,814,728
  5. Step 5: Solve for x
    x = 18,879,508,287,814,728/69,579,510
  6. Step 6: Final answer
    x = 271,337,183.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.