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Finding the Third Proportional to 338,760 and 495,417

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Solution

The third proportional to 338,760 and 495,417 is: 724,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,760 : 495,417 = 495,417 : x
  2. Step 2: Convert to fraction form
    338,760/495,417 = 495,417/x
  3. Step 3: Cross multiply
    338,760x = 495,417 × 495,417
  4. Step 4: Simplify right side
    338,760x = 245,438,003,889
  5. Step 5: Solve for x
    x = 245,438,003,889/338,760
  6. Step 6: Final answer
    x = 724,518.84

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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.