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Finding the Third Proportional to 391,752 and 879,376

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Solution

The third proportional to 391,752 and 879,376 is: 1,973,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,752 : 879,376 = 879,376 : x
  2. Step 2: Convert to fraction form
    391,752/879,376 = 879,376/x
  3. Step 3: Cross multiply
    391,752x = 879,376 × 879,376
  4. Step 4: Simplify right side
    391,752x = 773,302,149,376
  5. Step 5: Solve for x
    x = 773,302,149,376/391,752
  6. Step 6: Final answer
    x = 1,973,958.40

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.