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Finding the Third Proportional to 118,428 and 256,926

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Solution

The third proportional to 118,428 and 256,926 is: 557,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,428 : 256,926 = 256,926 : x
  2. Step 2: Convert to fraction form
    118,428/256,926 = 256,926/x
  3. Step 3: Cross multiply
    118,428x = 256,926 × 256,926
  4. Step 4: Simplify right side
    118,428x = 66,010,969,476
  5. Step 5: Solve for x
    x = 66,010,969,476/118,428
  6. Step 6: Final answer
    x = 557,393.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.