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Finding the Third Proportional to 299,000 and 498,315

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Solution

The third proportional to 299,000 and 498,315 is: 830,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,000 : 498,315 = 498,315 : x
  2. Step 2: Convert to fraction form
    299,000/498,315 = 498,315/x
  3. Step 3: Cross multiply
    299,000x = 498,315 × 498,315
  4. Step 4: Simplify right side
    299,000x = 248,317,839,225
  5. Step 5: Solve for x
    x = 248,317,839,225/299,000
  6. Step 6: Final answer
    x = 830,494.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.