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Finding the Third Proportional to 256,853 and 402,912

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Solution

The third proportional to 256,853 and 402,912 is: 632,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,853 : 402,912 = 402,912 : x
  2. Step 2: Convert to fraction form
    256,853/402,912 = 402,912/x
  3. Step 3: Cross multiply
    256,853x = 402,912 × 402,912
  4. Step 4: Simplify right side
    256,853x = 162,338,079,744
  5. Step 5: Solve for x
    x = 162,338,079,744/256,853
  6. Step 6: Final answer
    x = 632,027.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.