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Finding the Third Proportional to 345,138 and 533,100

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Solution

The third proportional to 345,138 and 533,100 is: 823,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,138 : 533,100 = 533,100 : x
  2. Step 2: Convert to fraction form
    345,138/533,100 = 533,100/x
  3. Step 3: Cross multiply
    345,138x = 533,100 × 533,100
  4. Step 4: Simplify right side
    345,138x = 284,195,610,000
  5. Step 5: Solve for x
    x = 284,195,610,000/345,138
  6. Step 6: Final answer
    x = 823,426.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.