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Finding the Third Proportional to 449,608 and 677,382

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Solution

The third proportional to 449,608 and 677,382 is: 1,020,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,608 : 677,382 = 677,382 : x
  2. Step 2: Convert to fraction form
    449,608/677,382 = 677,382/x
  3. Step 3: Cross multiply
    449,608x = 677,382 × 677,382
  4. Step 4: Simplify right side
    449,608x = 458,846,373,924
  5. Step 5: Solve for x
    x = 458,846,373,924/449,608
  6. Step 6: Final answer
    x = 1,020,547.62

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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.