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Finding the Third Proportional to 72,013 and 168,239

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Solution

The third proportional to 72,013 and 168,239 is: 393,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,013 : 168,239 = 168,239 : x
  2. Step 2: Convert to fraction form
    72,013/168,239 = 168,239/x
  3. Step 3: Cross multiply
    72,013x = 168,239 × 168,239
  4. Step 4: Simplify right side
    72,013x = 28,304,361,121
  5. Step 5: Solve for x
    x = 28,304,361,121/72,013
  6. Step 6: Final answer
    x = 393,045.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.