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Finding the Third Proportional to 198,922 and 314,988

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Solution

The third proportional to 198,922 and 314,988 is: 498,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,922 : 314,988 = 314,988 : x
  2. Step 2: Convert to fraction form
    198,922/314,988 = 314,988/x
  3. Step 3: Cross multiply
    198,922x = 314,988 × 314,988
  4. Step 4: Simplify right side
    198,922x = 99,217,440,144
  5. Step 5: Solve for x
    x = 99,217,440,144/198,922
  6. Step 6: Final answer
    x = 498,775.60

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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.