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Finding the Third Proportional to 254,660 and 387,526

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Solution

The third proportional to 254,660 and 387,526 is: 589,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,660 : 387,526 = 387,526 : x
  2. Step 2: Convert to fraction form
    254,660/387,526 = 387,526/x
  3. Step 3: Cross multiply
    254,660x = 387,526 × 387,526
  4. Step 4: Simplify right side
    254,660x = 150,176,400,676
  5. Step 5: Solve for x
    x = 150,176,400,676/254,660
  6. Step 6: Final answer
    x = 589,713.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.