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Finding the Third Proportional to 259,372 and 389,060

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Solution

The third proportional to 259,372 and 389,060 is: 583,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,372 : 389,060 = 389,060 : x
  2. Step 2: Convert to fraction form
    259,372/389,060 = 389,060/x
  3. Step 3: Cross multiply
    259,372x = 389,060 × 389,060
  4. Step 4: Simplify right side
    259,372x = 151,367,683,600
  5. Step 5: Solve for x
    x = 151,367,683,600/259,372
  6. Step 6: Final answer
    x = 583,593.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.