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Finding the Third Proportional to 259,373 and 387,412

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Solution

The third proportional to 259,373 and 387,412 is: 578,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,373 : 387,412 = 387,412 : x
  2. Step 2: Convert to fraction form
    259,373/387,412 = 387,412/x
  3. Step 3: Cross multiply
    259,373x = 387,412 × 387,412
  4. Step 4: Simplify right side
    259,373x = 150,088,057,744
  5. Step 5: Solve for x
    x = 150,088,057,744/259,373
  6. Step 6: Final answer
    x = 578,657.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.