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Finding the Third Proportional to 499,176 and 677,376

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Solution

The third proportional to 499,176 and 677,376 is: 919,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,176 : 677,376 = 677,376 : x
  2. Step 2: Convert to fraction form
    499,176/677,376 = 677,376/x
  3. Step 3: Cross multiply
    499,176x = 677,376 × 677,376
  4. Step 4: Simplify right side
    499,176x = 458,838,245,376
  5. Step 5: Solve for x
    x = 458,838,245,376/499,176
  6. Step 6: Final answer
    x = 919,191.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.