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Finding the Third Proportional to 338,795 and 495,459

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Solution

The third proportional to 338,795 and 495,459 is: 724,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,795 : 495,459 = 495,459 : x
  2. Step 2: Convert to fraction form
    338,795/495,459 = 495,459/x
  3. Step 3: Cross multiply
    338,795x = 495,459 × 495,459
  4. Step 4: Simplify right side
    338,795x = 245,479,620,681
  5. Step 5: Solve for x
    x = 245,479,620,681/338,795
  6. Step 6: Final answer
    x = 724,566.83

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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.