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Finding the Third Proportional to 430,380 and 879,762

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Solution

The third proportional to 430,380 and 879,762 is: 1,798,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,380 : 879,762 = 879,762 : x
  2. Step 2: Convert to fraction form
    430,380/879,762 = 879,762/x
  3. Step 3: Cross multiply
    430,380x = 879,762 × 879,762
  4. Step 4: Simplify right side
    430,380x = 773,981,176,644
  5. Step 5: Solve for x
    x = 773,981,176,644/430,380
  6. Step 6: Final answer
    x = 1,798,366.97

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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.