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Finding the Third Proportional to 338,729 and 495,371

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Solution

The third proportional to 338,729 and 495,371 is: 724,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,729 : 495,371 = 495,371 : x
  2. Step 2: Convert to fraction form
    338,729/495,371 = 495,371/x
  3. Step 3: Cross multiply
    338,729x = 495,371 × 495,371
  4. Step 4: Simplify right side
    338,729x = 245,392,427,641
  5. Step 5: Solve for x
    x = 245,392,427,641/338,729
  6. Step 6: Final answer
    x = 724,450.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.