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Finding the Third Proportional to 449,604 and 677,376

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Solution

The third proportional to 449,604 and 677,376 is: 1,020,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,604 : 677,376 = 677,376 : x
  2. Step 2: Convert to fraction form
    449,604/677,376 = 677,376/x
  3. Step 3: Cross multiply
    449,604x = 677,376 × 677,376
  4. Step 4: Simplify right side
    449,604x = 458,838,245,376
  5. Step 5: Solve for x
    x = 458,838,245,376/449,604
  6. Step 6: Final answer
    x = 1,020,538.62

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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.