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Finding the Third Proportional to 286,376 and 440,376

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Solution

The third proportional to 286,376 and 440,376 is: 677,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,376 : 440,376 = 440,376 : x
  2. Step 2: Convert to fraction form
    286,376/440,376 = 440,376/x
  3. Step 3: Cross multiply
    286,376x = 440,376 × 440,376
  4. Step 4: Simplify right side
    286,376x = 193,931,021,376
  5. Step 5: Solve for x
    x = 193,931,021,376/286,376
  6. Step 6: Final answer
    x = 677,190.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.