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Finding the Third Proportional to 242,016 and 338,508

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Solution

The third proportional to 242,016 and 338,508 is: 473,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,016 : 338,508 = 338,508 : x
  2. Step 2: Convert to fraction form
    242,016/338,508 = 338,508/x
  3. Step 3: Cross multiply
    242,016x = 338,508 × 338,508
  4. Step 4: Simplify right side
    242,016x = 114,587,666,064
  5. Step 5: Solve for x
    x = 114,587,666,064/242,016
  6. Step 6: Final answer
    x = 473,471.45

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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.