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Finding the Third Proportional to 579,965,928 and 878,372,316

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Solution

The third proportional to 579,965,928 and 878,372,316 is: 1,330,315,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,965,928 : 878,372,316 = 878,372,316 : x
  2. Step 2: Convert to fraction form
    579,965,928/878,372,316 = 878,372,316/x
  3. Step 3: Cross multiply
    579,965,928x = 878,372,316 × 878,372,316
  4. Step 4: Simplify right side
    579,965,928x = 771,537,925,515,203,840
  5. Step 5: Solve for x
    x = 771,537,925,515,203,840/579,965,928
  6. Step 6: Final answer
    x = 1,330,315,951.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.