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Finding the Third Proportional to 175,089 and 256,422

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Solution

The third proportional to 175,089 and 256,422 is: 375,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,089 : 256,422 = 256,422 : x
  2. Step 2: Convert to fraction form
    175,089/256,422 = 256,422/x
  3. Step 3: Cross multiply
    175,089x = 256,422 × 256,422
  4. Step 4: Simplify right side
    175,089x = 65,752,242,084
  5. Step 5: Solve for x
    x = 65,752,242,084/175,089
  6. Step 6: Final answer
    x = 375,536.11

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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.