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Finding the Third Proportional to 345,099 and 529,745

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Solution

The third proportional to 345,099 and 529,745 is: 813,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,099 : 529,745 = 529,745 : x
  2. Step 2: Convert to fraction form
    345,099/529,745 = 529,745/x
  3. Step 3: Cross multiply
    345,099x = 529,745 × 529,745
  4. Step 4: Simplify right side
    345,099x = 280,629,765,025
  5. Step 5: Solve for x
    x = 280,629,765,025/345,099
  6. Step 6: Final answer
    x = 813,186.26

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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.