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Finding the Third Proportional to 256,677 and 618,364

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Solution

The third proportional to 256,677 and 618,364 is: 1,489,709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,677 : 618,364 = 618,364 : x
  2. Step 2: Convert to fraction form
    256,677/618,364 = 618,364/x
  3. Step 3: Cross multiply
    256,677x = 618,364 × 618,364
  4. Step 4: Simplify right side
    256,677x = 382,374,036,496
  5. Step 5: Solve for x
    x = 382,374,036,496/256,677
  6. Step 6: Final answer
    x = 1,489,709.00

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.