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Finding the Third Proportional to 386,508,015 and 834,289,470

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Solution

The third proportional to 386,508,015 and 834,289,470 is: 1,800,839,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,508,015 : 834,289,470 = 834,289,470 : x
  2. Step 2: Convert to fraction form
    386,508,015/834,289,470 = 834,289,470/x
  3. Step 3: Cross multiply
    386,508,015x = 834,289,470 × 834,289,470
  4. Step 4: Simplify right side
    386,508,015x = 696,038,919,752,880,896
  5. Step 5: Solve for x
    x = 696,038,919,752,880,896/386,508,015
  6. Step 6: Final answer
    x = 1,800,839,549.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.