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Finding the Third Proportional to 198,532 and 310,758

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Solution

The third proportional to 198,532 and 310,758 is: 486,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,532 : 310,758 = 310,758 : x
  2. Step 2: Convert to fraction form
    198,532/310,758 = 310,758/x
  3. Step 3: Cross multiply
    198,532x = 310,758 × 310,758
  4. Step 4: Simplify right side
    198,532x = 96,570,534,564
  5. Step 5: Solve for x
    x = 96,570,534,564/198,532
  6. Step 6: Final answer
    x = 486,423.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.