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Finding the Third Proportional to 198,920 and 314,985

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Solution

The third proportional to 198,920 and 314,985 is: 498,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,920 : 314,985 = 314,985 : x
  2. Step 2: Convert to fraction form
    198,920/314,985 = 314,985/x
  3. Step 3: Cross multiply
    198,920x = 314,985 × 314,985
  4. Step 4: Simplify right side
    198,920x = 99,215,550,225
  5. Step 5: Solve for x
    x = 99,215,550,225/198,920
  6. Step 6: Final answer
    x = 498,771.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.