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Finding the Third Proportional to 449,610 and 677,385

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Solution

The third proportional to 449,610 and 677,385 is: 1,020,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,610 : 677,385 = 677,385 : x
  2. Step 2: Convert to fraction form
    449,610/677,385 = 677,385/x
  3. Step 3: Cross multiply
    449,610x = 677,385 × 677,385
  4. Step 4: Simplify right side
    449,610x = 458,850,438,225
  5. Step 5: Solve for x
    x = 458,850,438,225/449,610
  6. Step 6: Final answer
    x = 1,020,552.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.