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Finding the Third Proportional to 338,804 and 495,489

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Solution

The third proportional to 338,804 and 495,489 is: 724,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,804 : 495,489 = 495,489 : x
  2. Step 2: Convert to fraction form
    338,804/495,489 = 495,489/x
  3. Step 3: Cross multiply
    338,804x = 495,489 × 495,489
  4. Step 4: Simplify right side
    338,804x = 245,509,349,121
  5. Step 5: Solve for x
    x = 245,509,349,121/338,804
  6. Step 6: Final answer
    x = 724,635.33

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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.