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Finding the Third Proportional to 408,948 and 627,706

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Solution

The third proportional to 408,948 and 627,706 is: 963,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,948 : 627,706 = 627,706 : x
  2. Step 2: Convert to fraction form
    408,948/627,706 = 627,706/x
  3. Step 3: Cross multiply
    408,948x = 627,706 × 627,706
  4. Step 4: Simplify right side
    408,948x = 394,014,822,436
  5. Step 5: Solve for x
    x = 394,014,822,436/408,948
  6. Step 6: Final answer
    x = 963,483.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.