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Finding the Third Proportional to 338,658 and 495,540

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Solution

The third proportional to 338,658 and 495,540 is: 725,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,658 : 495,540 = 495,540 : x
  2. Step 2: Convert to fraction form
    338,658/495,540 = 495,540/x
  3. Step 3: Cross multiply
    338,658x = 495,540 × 495,540
  4. Step 4: Simplify right side
    338,658x = 245,559,891,600
  5. Step 5: Solve for x
    x = 245,559,891,600/338,658
  6. Step 6: Final answer
    x = 725,096.98

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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.