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Finding the Third Proportional to 477,706 and 679,028

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Solution

The third proportional to 477,706 and 679,028 is: 965,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,706 : 679,028 = 679,028 : x
  2. Step 2: Convert to fraction form
    477,706/679,028 = 679,028/x
  3. Step 3: Cross multiply
    477,706x = 679,028 × 679,028
  4. Step 4: Simplify right side
    477,706x = 461,079,024,784
  5. Step 5: Solve for x
    x = 461,079,024,784/477,706
  6. Step 6: Final answer
    x = 965,194.13

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.