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Finding the Third Proportional to 338,745 and 495,396

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Solution

The third proportional to 338,745 and 495,396 is: 724,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,745 : 495,396 = 495,396 : x
  2. Step 2: Convert to fraction form
    338,745/495,396 = 495,396/x
  3. Step 3: Cross multiply
    338,745x = 495,396 × 495,396
  4. Step 4: Simplify right side
    338,745x = 245,417,196,816
  5. Step 5: Solve for x
    x = 245,417,196,816/338,745
  6. Step 6: Final answer
    x = 724,489.50

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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.