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Finding the Third Proportional to 922,188,183 and 1,426,374,942

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Solution

The third proportional to 922,188,183 and 1,426,374,942 is: 2,206,215,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,188,183 : 1,426,374,942 = 1,426,374,942 : x
  2. Step 2: Convert to fraction form
    922,188,183/1,426,374,942 = 1,426,374,942/x
  3. Step 3: Cross multiply
    922,188,183x = 1,426,374,942 × 1,426,374,942
  4. Step 4: Simplify right side
    922,188,183x = 2,034,545,475,165,503,488
  5. Step 5: Solve for x
    x = 2,034,545,475,165,503,488/922,188,183
  6. Step 6: Final answer
    x = 2,206,215,079.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.