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Finding the Third Proportional to 256,710 and 618,445

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Solution

The third proportional to 256,710 and 618,445 is: 1,489,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,710 : 618,445 = 618,445 : x
  2. Step 2: Convert to fraction form
    256,710/618,445 = 618,445/x
  3. Step 3: Cross multiply
    256,710x = 618,445 × 618,445
  4. Step 4: Simplify right side
    256,710x = 382,474,218,025
  5. Step 5: Solve for x
    x = 382,474,218,025/256,710
  6. Step 6: Final answer
    x = 1,489,907.75

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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.