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Finding the Third Proportional to 198,072 and 292,740

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Solution

The third proportional to 198,072 and 292,740 is: 432,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 292,740 = 292,740 : x
  2. Step 2: Convert to fraction form
    198,072/292,740 = 292,740/x
  3. Step 3: Cross multiply
    198,072x = 292,740 × 292,740
  4. Step 4: Simplify right side
    198,072x = 85,696,707,600
  5. Step 5: Solve for x
    x = 85,696,707,600/198,072
  6. Step 6: Final answer
    x = 432,654.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.