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Finding the Third Proportional to 449,614 and 677,391

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Solution

The third proportional to 449,614 and 677,391 is: 1,020,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,614 : 677,391 = 677,391 : x
  2. Step 2: Convert to fraction form
    449,614/677,391 = 677,391/x
  3. Step 3: Cross multiply
    449,614x = 677,391 × 677,391
  4. Step 4: Simplify right side
    449,614x = 458,858,566,881
  5. Step 5: Solve for x
    x = 458,858,566,881/449,614
  6. Step 6: Final answer
    x = 1,020,561.12

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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.