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Finding the Third Proportional to 425,419 and 658,643

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Solution

The third proportional to 425,419 and 658,643 is: 1,019,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,419 : 658,643 = 658,643 : x
  2. Step 2: Convert to fraction form
    425,419/658,643 = 658,643/x
  3. Step 3: Cross multiply
    425,419x = 658,643 × 658,643
  4. Step 4: Simplify right side
    425,419x = 433,810,601,449
  5. Step 5: Solve for x
    x = 433,810,601,449/425,419
  6. Step 6: Final answer
    x = 1,019,725.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.