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Finding the Third Proportional to 69,579,514 and 137,402,731

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Solution

The third proportional to 69,579,514 and 137,402,731 is: 271,337,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,579,514 : 137,402,731 = 137,402,731 : x
  2. Step 2: Convert to fraction form
    69,579,514/137,402,731 = 137,402,731/x
  3. Step 3: Cross multiply
    69,579,514x = 137,402,731 × 137,402,731
  4. Step 4: Simplify right side
    69,579,514x = 18,879,510,486,258,360
  5. Step 5: Solve for x
    x = 18,879,510,486,258,360/69,579,514
  6. Step 6: Final answer
    x = 271,337,199.71

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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.