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Finding the Third Proportional to 242,020 and 338,514

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Solution

The third proportional to 242,020 and 338,514 is: 473,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,020 : 338,514 = 338,514 : x
  2. Step 2: Convert to fraction form
    242,020/338,514 = 338,514/x
  3. Step 3: Cross multiply
    242,020x = 338,514 × 338,514
  4. Step 4: Simplify right side
    242,020x = 114,591,728,196
  5. Step 5: Solve for x
    x = 114,591,728,196/242,020
  6. Step 6: Final answer
    x = 473,480.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.