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Finding the Third Proportional to 384,597,703.13 and 782,787,334.50

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Solution

The third proportional to 384,597,703.13 and 782,787,334.50 is: 1,593,238,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,597,703.13 : 782,787,334.50 = 782,787,334.50 : x
  2. Step 2: Convert to fraction form
    384,597,703.13/782,787,334.50 = 782,787,334.50/x
  3. Step 3: Cross multiply
    384,597,703.13x = 782,787,334.50 × 782,787,334.50
  4. Step 4: Simplify right side
    384,597,703.13x = 612,756,011,053,614,848
  5. Step 5: Solve for x
    x = 612,756,011,053,614,848/384,597,703.13
  6. Step 6: Final answer
    x = 1,593,238,872.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.