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Finding the Third Proportional to 92,358 and 198,840

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Solution

The third proportional to 92,358 and 198,840 is: 428,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,358 : 198,840 = 198,840 : x
  2. Step 2: Convert to fraction form
    92,358/198,840 = 198,840/x
  3. Step 3: Cross multiply
    92,358x = 198,840 × 198,840
  4. Step 4: Simplify right side
    92,358x = 39,537,345,600
  5. Step 5: Solve for x
    x = 39,537,345,600/92,358
  6. Step 6: Final answer
    x = 428,087.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.