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Finding the Third Proportional to 256,614.75 and 374,878.13

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Solution

The third proportional to 256,614.75 and 374,878.13 is: 547,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,614.75 : 374,878.13 = 374,878.13 : x
  2. Step 2: Convert to fraction form
    256,614.75/374,878.13 = 374,878.13/x
  3. Step 3: Cross multiply
    256,614.75x = 374,878.13 × 374,878.13
  4. Step 4: Simplify right side
    256,614.75x = 140,533,608,603.52
  5. Step 5: Solve for x
    x = 140,533,608,603.52/256,614.75
  6. Step 6: Final answer
    x = 547,644.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.